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
riadik2000 [5.3K]
3 years ago
15

Write the function in vertex form. y=-x^2-8x-9

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

y = -(x+4)² +7

Step-by-step explanation:

I find it convenient to factor the leading minus sign from the first two terms, then work with what's left.

... y = -(x² +8x) -9

Now, add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.

... y = -(x² +8x +4²) -9 +4²

... y = -(x +4)² +7 . . . . . . . . . rewrite parentheses as a square; collect terms

You might be interested in
The graph of the function f(x) is shown. Which graph represents the function f(2x)
slava [35]

Answer:

It should be the top left graph  where there is point (1,1) and (-1, -1)  y = 1/x

Step-by-step explanation:

from the original graph, I see:

f(x) =  2/x    because  f(2) = 1 = 2/2

f(1/4)= 2/(1/4) = 2

...

so then  f(2x)  compresses f(x) horizontally by a factor of 2

so f(2x) =  2/(2x) = 1/x

8 0
3 years ago
The length of a rectangle is stored in a double variable named length, the width in one named width. write an expression whose v
Mila [183]
<span>sqrt(pow(length, 2) + pow(width, 2))

</span>
7 0
3 years ago
If the area of a right triangle is 9/16 sq.ft. and the height is 3/4 ft., write an equation that relates the area to the base, b
spayn [35]
B=1/2

9/16=1/2b(3/4)

Divide both sides by 3/4

1/4=1\2b

Multiply both sides by 2
7 0
3 years ago
Read 2 more answers
Find the length of OC.
frosja888 [35]

Answer:

About 8

Step-by-step explanation:

I found this by doing 16 divided by 2 since half of 16 is 8and AC and OC are congruent so I think it is 8.

6 0
3 years ago
Read 2 more answers
Which best completes the following sentence?
zlopas [31]

When two triangles are congruent they<span> will </span>have<span> exactly the </span>same <span>three sides and exactly the </span>same<span> three angles. The equal sides and angles may not be in the </span>same<span> position (</span>if<span> there is a turn or a flip), but </span>they<span> are there.</span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • About how many kilometers are in 0.5 light-years?
    9·1 answer
  • The value of 3 in 43158 is how many times the value of of 3 in 71435
    8·2 answers
  • The amount of red blood cells in a blood sample is equal to the total amount in the sample minus the amount of plasma. What is t
    5·1 answer
  • How can you write any rate as a unit rate?
    14·2 answers
  • At a restaurant, a serving of chicken noodle soup is 3/4 cup. A serving of vegetable soup is 2/3 cup. The restaurant sold 20 ser
    12·2 answers
  • A 28ft ladder leans against a wall so that the base of the ladder is 5ft away from the base of the wall. How far up the wall doe
    11·1 answer
  • One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l
    6·1 answer
  • Describe these points with a double inequality
    7·1 answer
  • .
    5·2 answers
  • Helpsssssssssssssss!!!!!!!!!!!!!!!!!!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!