1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Radda [10]
2 years ago
13

What is the vertex form of Y = x2 - 6x + 6?

Mathematics
1 answer:
ahrayia [7]2 years ago
7 0

Answer:

\large\boxed{y=(x-3)^2-3}

Step-by-step explanation:

The vertex form of a quadratic equation <em>y = ax² + bx + c:</em>

<em>y = a(x - h)² + k</em>

(h, k) - coordinates of a vertex

We have the equation <em>y = x² - 6x + 6</em>.

Convert to the vertex form:

y=x^2-2(x)(3)+6\\\\y=\underbrace{x^2-2(x)(3)+3^2}_{(*)}-3^2+6\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\qquad(*)\\\\y=(x-3)^2-9+6\\\\y=(x-3)^2-3\to h=3,\ k=-3

You might be interested in
How can i get the volume??
Paladinen [302]
Length times width times height gives you the volume of things
6 0
3 years ago
What is 3(2x+1)+2(x+3) Help please x
katrin [286]

Answer:

8x + 9

Step-by-step explanation:

Treat the question as 2 separate brackets

First expand 3(2x + 1) :

6x + 3

Then expand 2(x + 3) :

2x + 6

Now add the two answers together and simplify :

= 6x + 3 + 2x + 6

= 8x + 9

hope this helps :)

8 0
3 years ago
Read 2 more answers
Given the information in the picture, which trigonometric identity can be used to solve for the height of the blue ladder that i
Stells [14]

The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is \rm sin=\dfrac{o}{h}.

We have to determine

Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.

<h3>Trigonometric identity</h3>

Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.

Trig ratios help us calculate side lengths and interior angles of right triangles:

The trigonometric identity that can be used to solve for the height of the blue ladder is;

\rm Sin47=\dfrac{50}{H}\\\\H=\dfrac{50}{sin47}\\\\H=68 feet

Hence, the trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is \rm sin=\dfrac{o}{h}.

To know more about trigonometric identity click the link given below.

brainly.com/question/1256744

6 0
2 years ago
What is accounting? what is the target audience of accounting?
Savatey [412]
Accounting is an action of financial accounts, the target audience is people who want to major in business/accounting.
8 0
3 years ago
A football field is 300 feet long. A sloth moving very quickly travels 60 feet every 5 minutes. Based on this ratio, how many mi
nalin [4]
25 minutes.

Explanation: if the field is 300 feet and the sloth travels 60 feet every 5 minutes, you would divide 300 feet by 60 feet to determine the distance the sloth can travel. That gives you 5, then you would multiple 5 by 5 minutes.

side note: there’s probably a simpler way to explain this
3 0
3 years ago
Other questions:
  • Please help me with question 8 and part 1
    11·1 answer
  • A local business needs more trainees who are highly proficient in math and language skills. in keeping with the current trend, t
    12·1 answer
  • Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m
    11·2 answers
  • Which function is the inverse of function f? <br> f(x)=9x^2–12
    6·1 answer
  • The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all yo
    11·1 answer
  • Increase 220 by 15% please
    15·1 answer
  • What is the relationship between a and b
    5·1 answer
  • Find the distance from point B to point C. Enter as a decimal rounded to the nearest tenth. BC = [?] mi
    7·1 answer
  • .. Lexi was at the grocery store looking at the different prices for shampoo. She found that the small bottle of shampoo was $7.
    12·1 answer
  • If a number is a natural number, then it is also a whole number.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!