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
laiz [17]
3 years ago
14

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

h?
(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)
Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

D) (-2,-9)

Step-by-step explanation:

<u>Vertex Form of a Vertical Parabola:</u>

y=a(x-h)^2+k

Vertex -> (h,k)

Axis of Symmetry -> x=h

Vertical Scale Factor -> a

  • To turn f(x)=x^2+4x-5 into vertex form, we need to complete the square on the right side
  • Therefore, if f(x)=0, then 0+9=x^2+4x-5+9 completes the square on the right side
  • This becomes 9=(x+2)^2
  • This means that our function in vertex form is f(x)=(x+2)^2-9

Therefore, the vertex of the graph is (h,k)=(-2,-9).

You might be interested in
URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor
KatRina [158]

Answer:

The width of the floor is 10 ft.

Step-by-step explanation:

First, you have to form expressions of width and length in terms of w. With the given information :

width = w ft

length = (w - 2) ft

Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :

A = l × w

80 = (w - 2) × w

w(w - 2) = 80

w² - 2w = 80

w² - 2w - 80 = 0

(w + 8)(w - 10) = 0

w + 8 = 0

w = -8 (rejected)

w - 10 = 0

w = 10

3 0
3 years ago
What is x in 4x+4=5x+45
fiasKO [112]

Answer:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

x = − 41

7 0
3 years ago
Read 2 more answers
Determine a25
posledela
I believe it’s 16/21 but I’m not sure.

4 0
3 years ago
What is the completely factored form of of this polynomial 81x^4 - 16y^4​
Tasya [4]

Step-by-step explanation:

81x⁴ - 16y⁴

(9x²)² - (4y²)²

(9x² + 4y²)(9x² - 4y²)

(9x² + 4y²)(3x + 2y)(3x - 2y)

5 0
3 years ago
I NEED HELPPPP PLEASEEEEW BEGGINGGG YOUUUU PLEASEEEEEE PLEASEEEEEEE​
avanturin [10]

Answer:

7x + 7

Step-by-step explanation:

2x + 5x = 7x

5 +2 = 7

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 8/11 - 7/11 in simplest form
    9·2 answers
  • Choose the best answer for this length.
    11·1 answer
  • PLZ HELP :( <br><br>THANK YOU SOO MUCH ❤
    7·2 answers
  • What is the sum 2/x^2 + 4/x^2
    9·1 answer
  • What is the area of the patio floor shown?
    9·1 answer
  • Can anyone give me the variables
    15·2 answers
  • Val is in a race that has a 2 10-mile swim and a 26 10-mile run. How far does Val
    6·1 answer
  • Factor Completely<br><br> -m^3-2m^2-16m-32
    11·1 answer
  • There are 11.5 ounces of cereal in a container. Additional cereal is poured into the container at a rate of 3.15 ounces per seco
    6·1 answer
  • A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. T
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!