Write the quadratic function in vertex form f(x)=-4x^2-2x-3

Answers

Answer 1

Answer:

[tex]f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4} [/tex]

Explanation:

The given function is

[tex]f(x) = - 4 {x}^{2} - 2x - 3[/tex]

To write the function is vertex form, we need to complete the square.

We first factor -4 to get:

[tex]f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3[/tex]

Add and subtract the square of half the coefficient of x.

[tex]f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3[/tex]

We factor the perfect square trinomial and simplify to get:

[tex]f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4} [/tex]


Related Questions

Interpret the attorney’s "rough answer," as Kafka gives it. What is conveyed by the attorney’s actions? Take into account Kafka’s description, "allowing his polished shoes to creak."


*Text is the Metamorphosis by Franz Kafka

Answers

In "The Metamorphosis," the attorney's "rough answer" and the description of his "polished shoes creaking" convey a sense of arrogance  towards Gregor Samsas family.

The lawyer's attitude implies a lack of compassion or understanding for Gregor's predicament, and his well-groomed look can represent his disconnection from the hard reality that other people must endure. His shoes cre//aking suggests a purposeful, determined action that emphasizes his conceit and disregard for Gregor's situation.

Overall, the lawyer's acts highlight themes of alienation and loneliness that run throughout the  writing and show a disregard for other people's pain.

(100 points...this is urgent please help :> )What was the role of Valkyries in Norse mythology?

Answers

Answer:

Valkyries take the souls of people who died bravely in battle to valhalla

Explanation:

I am a mythology nerd

Answer:

As these names suggest, they had various functions. Their main duty was to select the slain warriors, who had fallen in battle or other combat, such as quest or killing dragon, etc. These slain warriors were known as the Einherjar (Einheriar), and were chosen to fight alongside with the Aesir gods at Ragnarok.

Explain four steps you can take to improve your writing,
OU A
Lound this assignment helpu

Answers

The answer about improving your writing skills is explained below.

Explanation:

When you are in you education career, or in your professional career, writing skills cannot be neglected. You continuously need to write things down, either in the form of assignments, articles, presentations, letters, agenda, minutes, reports, etc. So your writing skills must be fantastic. Following are some ways that would help you to improve your skills of writing:

Be concise and clear while writing anythingKeep the topic shortWatch your tone while writingBreak down the topic into paragraphsStay on the topic, don't move out of context, etc

If you correctly follow the above mentioned ways of writing something, then your writing skills will be improved in a short period of time.

Learn more about Writing Skills at:

https://brainly.com/question/13411050

#LearnWithBrainly

Any of the actions listed under “Writing and Rewriting” is acceptable. Your goal is to improve your writing and increase the chance that the reader will understand and accept your point of view. Possible answers include:

Write an interesting first paragraph that grabs your audience's attention or surprises them. (Start with a startling statement, begin with a quote, introduce your topic with a definition, or begin with an incident, an anecdote, or a personal experience.

Use the correct tone for your audience.

Use word bridges to connect your ideas.

Take time away from your writing if you need to, and then reread what you have written. Give yourself advice.

Make changes to improve your writing: tighten up your writing with compound predicates, relative pronouns and subordinating conjunctions; Weed out unnecessary words; and check for confusing constructions, like missing punctuation, run-on sentences, and fragments.

The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 50 square inches, choose the equation that could be used to solve for the dimensions.

Answers

Answer:

[tex]w(2w-3)=50[/tex]

Explanation:

Let the length of the rectangle be [tex]w[/tex] units.

We were given that the length is 3 less than twice the width.

This implies that: [tex]l=2w-3[/tex]

We have that the area of this rectangle is 50  square inches.

Recall that area of rectangle is given by:

[tex]A=lw[/tex]

[tex]\implies w(2w-3)=50[/tex]

Therefore the required equation is [tex]w(2w-3)=50[/tex]

What material is most often used in carpeting?
What are two functions of carpeting?
In what room should you use the most expensive carpet in your home? Why?

Answers

Answer:

Most carpet is normal average carpet in your room or something, other carpets can be used as door pads and personally your living room carpet should be most expensive because guests see

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