What is the equation of the following graph in vertex form?
parabolic function going down from the left and turning at the point negative one comma zero and going up through the point zero comma one and continuing towards infinity
Courtesy of Texas Instruments
y = (x − 1)2
y = (x − 1)2 + 1
y = (x + 1)2 − 1
y = (x + 1)2
Answers
Graph passes through the point (-1, 0).
Therefore, x = -1 and y = 0.
[tex]y=(x+1)^2 \\0=(-1+1)^2 \\0=0^2 \\0=0 \;\; \text{T}[/tex]
This is the only equation which is true for x = -1 and y = 0.
Therefore, the solution is [tex]y=(x+1)^2[/tex]
Answer:
y = (x + 1)^2
Step-by-step explanation:
I used desmos and put each answer choice into the graphing calculator and answer choice D was the only one that matched with the image in the question.
Related Questions
Divide. Express your answer in lowest terms
=15/16 + (-3/4)
please tell me how you got your answer after
Answers
write y=2x+3 using function notation
Answers
Answer:
[tex]f(x) = 2x+3[/tex]
Step-by-step explanation:
The function f(x) is the another way of representing the y-values in the function
i.e
[tex]y=f(x)[/tex]
Then y-axis be labeled with f(x)
Also; the ordered pair is written as: (x, f(x)) instead of (x, y)
Given the equation:
[tex]y = 2x+3[/tex]
replace y = f(x)
then;
[tex]f(x) = 2x+3[/tex]
therefore, the equation y=2x+3 using function notation is, [tex]f(x) = 2x+3[/tex]
What is the solution of the system?
Use the substitution method.
{y+7=3x
{6x−2y=12
A) (14, 12)
B) (12, 14)
C)There is no solution.
D)There are an infinite number of solutions.
Answers
so we sub in 3x - 7 for y in the other equation
6x - 2y = 12
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
6x - 6x = 12 - 14
0 = -2 (incorrect)....no solution
Little tip :
if ur answer comes out with unequal amounts such as : 1 = 4, or 2 = 3, or 0 = -2...then there will be no solutions.
if ur answer comes out with equal amounts such as : 2 = 2, 3 = 3,0 = 0....then there will be infinite solutions.
if ur answer comes out with a variable equaling something...y = 4, x = 2, then there is 1 solution
Expand 3(-5q + 4).
A.5q + 12
B.-15q + 4
C.-15q + 12
D. 5q + 12
Answers
(-5q * 3) + (4 *3 ) = -15q + 12
The answer is C.
Distribute ( 3 * -5q + 3 * 4 )
reduce 3 * -5q to -15q ( -15q + 3 * 4 )
simplify 3 * 4 to 12 ( -15q + 12 ).
In circle A shown below, m arc BC is 61° and m Arc EF is 76°.
What is m∡FDE?
Answer
76°
38°
30.5°
68.5°
Answers
Answer:
68.5°
Step-by-step explanation:
Here is the solution:
m<FDE = 1/2( Arc BC + Arc 76)
m<FDE = 1/2 (61° + 76°)
m<FDE = 137/2 = 68.5°
So the answer is 68.5°
5/8 as a decimal and a percent
Answers
If theres 3 apples and you take 2 away, how many do you have?
Answers
_______________________________________________
The rationale behind this answer is that if there are three apples, but you "take 2 away" you now have "2" apples, because YOU are the one who "took away the 2 apples"—so presumably, YOU have the "2 apples" that YOU "took away"!
1. Choose the correct solution in roster form.
S is the set of prime numbers that are less than 15.
A.{2,3,5,7,11,13}
B.{2,3,5,7,9,11,13}
C.{1,3,5,7,9,11,13}
D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
Answers
Answer:
A. {2,3,5,7,11,13}
Step-by-step explanation:
Since, prime numbers are the whole numbers which have only two multiple which are 1 and itself.
Thus, the prime numbers are,
2, 3, 5, 7, 11, 13, 17, 19, 23, ..................
Note : 1 is not a prime number because it has only one multiple i.e. 1.
or it does not satisfy the definition of prime number.
Thus, the prime numbers that are less than 15,
2, 3, 5, 7, 11, 13
Which are the elements of the set S,
Hence, S = { 2, 3, 5, 7, 11, 13 }
OPTION A is correct.
When working with the square root of a number, when would you have only a positive answer and when would you have both a positive and negative answer?
Answers
slope-intercept form .... slope=.25, x-intercept=24 ...?
Answers
Answer:
Step-by-step explanation:
Given : slope=.25, x-intercept=24 ...?
On the cube in the figure above, each of the following points is the same distance from
P as it is from Q
EXCEPT
(A) A (B) B (C) C (D) D (E) E
Answers
Suppose the length of the edge of a cube is 1.
CQ = 1 and [tex]PQ= \sqrt{2} [/tex]
Lucia bought a table and some chairs at a furniture store. The equation that models this situation is y = 40x + 55, where y is the amount of money she spent and x is the number of chairs she bought. What does the y-intercept mean in this situation?
A. She paid $40 for each chair.
B. She paid $55 for the table.
C. She paid $40 for the table.
D. She paid $55 for each chair.
Answers
Answer: C. She paid $40 for each chair.
Step-by-step explanation:
Will upvote!
Graph −7y+8=21x−6
Two points that the line would go through is all I need.
Thanks!!
Answers
−7y-21x =−14
What is the length of one side of a square if its area is 100 square centimeters?
a. 100 cm
b. 40 cm
c. 25 cm
d. 10 cm user: the cost of one textbook is $14.90. which expression below can be used to compute the cost of 8 textbooks?
a. 8($15.00 $0.90)
b. 8($15.00 $0.10)
c. 8($15.00 – $0.90)
d. 8($15.00 – $0.10)
Answers
10×10=100
--------------
8($14.90)=8($15.00-$0.10)
d)
Answer:
The anser is D. I just had this question
If the ends of the base of an isosceles triangle are at (2,0) & (0,1) & the eqn of one side is
x=2,
then the orthocentre of the triangle is
a) (3/2, 3/2)
b) (5/4, 1)
c) (3/4, 1)
d) (4/3, 7/12)
...?
Answers
such that xo=(2+0 + 2)/3, so xo= 4/3, so the answer must be
d) (4/3, 7/12)
Answer:
The orthocenter of the triangle is [tex](\frac{5}{4},1)[/tex] and option b is correct.
Step-by-step explanation:
The ends of the base of an isosceles triangle are at (2,0) & (0,1).
Orthocentre of the triangle is the intersection point of all three altitudes from its vertices.
First find any two altitudes, then find intersection point of altitudes.
The equation of a side is x=2, which is an vertical line. The opposite vertices of this side is (0,1), so the perpendicular line is a horizontal line. The equation of first altitude is
[tex]y=1[/tex] .... (1)
In an isosceles triangle, then attitude is the median of non-equal side. It means the altitude is passing through the midpoint of base side.
[tex]Midpoint=(\frac{2+0}{2},\frac{0+1}{2})=(1,0.5)[/tex]
Slope of base side is
[tex]m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{0-2}=-0.5[/tex]
The product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-0.5\times m_2=-1[/tex]
[tex]m_2=2[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is slope.
The slope of second altitude is 2 and it passing through the pint (1,0.5), therefore the equation of second altitude is
[tex]y-0.5=2(x-1)[/tex]
[tex]y=2x-1.5[/tex] ..... (2)
From equation (1) and (2), we get
[tex]x=\frac{5}{4}[/tex]
[tex]y=1[/tex]
Therefore the orthocenter of the triangle is [tex](\frac{5}{4},1)[/tex] and option b is correct.
what is 4/12 simplest form
Answers
Michael breeds chickens and ducks. last month, he sold 50 chickens and 30 ducks for $550. this month, he sold 44 chickens and 36 ducks for $532. how much does a chicken cost, and how much does a duck cost?
Answers
50c + 1330/3 - 110/3c = 550
150c + 1330 - 330c = 1650
110/3 was multiplied by 3 twice instead of once. It should just be 110
Continuing onward...
150c + 1330 - 110c = 1650
40c = 320
c = 8
25 m equals how many feet
Answers
A recipe calls for 6 quarts of water. Michael put 1 gallon of water in the bowl and realized that he made a mistake. Michael should ___.
-Remove 2 cups.
-Add 1 gallon.
-Add 2 quarts.
-Add 2 pints.
Answers
-Add 2 quarts. Michael incorrectly used gallons instead of quarts for his recipe. Since 1 gallon equals 4 quarts, he simply needs to add 2 more quarts to the existing gallon to meet the recipe's requirement of 6 quarts.
Explanation:The question involves unit conversion between gallons and quarts. Since the recipe calls for 6 quarts of water and Michael has already put 1 gallon (which is 4 quarts) into the bowl, he needs to add more water to reach the required amount.
A gallon is equivalent to 4 quarts, so Michael should add 2 quarts more to the 4 quarts he already has, totaling the 6 quarts needed for the recipe.
Given the two points (2,4) and (-3,2), what is the slope of the line that goes through both of these points?
Answers
m=(4-2)/(2-(-3))
= 2/5
Therefore the slope is 2/5.
the slope of the line going through those points is
(y2-y1)/(x2-x1)
given
(2,4) and (-3,2)
x1=2
y1=4
x2=-3
y2=2
slope=(2-4)/(-3-2)=-2/-5=2/5
A boardwalk that is x feet wide is built around a rectangular pond. The combined area of the pond and the boardwalk is 4x^2+140x+1200 square feet. What are the dimensions of the pool?
a. 100 ft by 60 ft c. 55 ft by 70 ft
b. 30 ft by 40 ft d. 15 ft by 80 ft
...?
Answers
Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are
(–9, 2), what are the coordinates of F'?
(–17, 5)
(–6, –6)
(–17, –1)
(–12, –6)
Answers
(-6,-6)
Explanation:
The xy coordinate grid is shown in the attached image.
As we can see:
1- moving down the the y-axis means that we are moving towards the negative direction. This means that we will subtract the translated units from the original y-value to get the y-value of the image
We are given that the point was translated 8 units down and that the original y-coordinate was 2.
This means that:
y-coordinate of image = y-coordinate of original point - translated units
y-coordinate of image = 2 - 8
y-coordinate of image = -6
2- moving to the right of the x-axis means that we are moving towards the positive direction.This means that we will add the translated units to the original x-value to get the x-value of the image.
We are given that the point was translated 3 units to the right and that the original x-coordinate was -9.
This means that:
x-coordinate of image = x-coordinate of original point + translated units
x-coordinate of image = -9 + 3
x-coordinate of image = -6
Based on the above, the coordinates of the image are (-6,-6)
Hope this helps :)
Which represents the empirical formula for A3B9?
AB3
AB2
A3B9
A9B27
Answers
Answer:
[tex]AB_{3}[/tex]
Step-by-step explanation:
Given : [tex]A_{3}B_{9}[/tex]
To Find : Which represents the empirical formula for[tex]A_{3}B_{9}[/tex]?
Solution:
Definition of Empirical Formula - A formula that gives the simplest whole-number ratio of atoms in a compound.
[tex]A_{3}B_{9}[/tex]
To reduce it in simplest form
Divide the subscript numbers by 3
So, the resultant : [tex]AB_{3}[/tex]
Thus the empirical formula for [tex]A_{3}B_{9}[/tex] :
[tex]AB_{3}[/tex]
What is the inverse of the conditional statement " If a number is divisible by 6, then it is divisible by 3"?
A) If a number is divisible by 3, then it is divisible by 6.
B)If a number is not divisible by 6, then it is not divisible by 3.
C)If a number is not divisible by 3, then it is not divisible by 6.
D)If a number is not divisible by 6, then it is divisible by 3.
...?
Answers
"If a number is divisible by 3, then it is divisible by 6." is the inverse of the conditional statement " If a number is divisible by 6, then it is divisible by 3".
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer: I think its A.
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?
a. 7 < h < 9
b. 7 > h > 9
c. h < 7 or h > 9
d. h > 7 or h < 9
Answers
B is not correct. h cannot be both larger than 9 and less than 7. I would say that answer isnt correct
C conditions are correct and written exactly as they should be. sepparated. unlike ones in B
D is oposite from C so it is not correct.
Will give brainlyiest answer if explained.
In the figure below, lines g and h are parallel and are cut by transversal j to form the angles shown. If the measure of <8 is 82, what is the measure of <1?
A. 180.
B. 98.
C. 82.
D. 8.
Answers
One number is six times another number. their difference is 35. what are the two numbers? 5 and 30 8 and 48 7 and 42 6 and 41
Answers
a - b = 35
6b - b = 35
5b = 35
b = 35/5
b = 7
a = 6b
a = 6(7)
a = 42
ur numbers are 7 and 42
Answer: The answer is (c) 7 and 42.
Step-by-step explanation: We are given that one number is six times another number and their difference is 35. We are to find the two numbers.
Let 'x' and 'y' be the two numbers. Then, we have
[tex]y=6x,\\\\y-x=35.[/tex]
Substituting the value of 'y' from first equation in the second, we have
[tex]6x-x=35\\\\\Rightarrow 5x=35\\\\\Rightarrow x=7,[/tex]
and
[tex]y=6\times 7=42.[/tex]
Therefore, the numbers are 7 and 42.
Thus, the answer is (c) 7 and 42.
What is the y-intercept of y=1.5x?
Answers
In your equation y=1.5x, when x=0, y=0. So the y-intercept is (0,0), which is the origin.
You are playing a game of Scrabble and have the 5 A tiles, 3 E tiles, 1 Z tile, 2 M tiles, 3 L tiles, and 1 Y tile to choose from. What is the probability that you choose E or Y on your next draw
Answers
Answer:
4/15
Step-by-step explanation:
To find the probability we use the mutually exclusive probability formula P(A) + P(B). The probability of picking a E tile is
1
5
and the probability of picking a Y tile is
1
15
. The sum is
4
15
.
whats 9+10? PLZ HELP !!!!
Answers
just kidding i know that you know
So if we add 9 slices to pizza, and 10 more...We get...0 because I ate them all
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