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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).

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3 years ago
If one side of a cube is 15m in length,find its volume
sergeinik [125]

Answer:

V = 3375~m^{3}

Step-by-step explanation:

The formula of the volume of a cube is V = a^{3} where "a" would correspond to the length of an edge/side/height/etc.

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Hope it helped,

BiologiaMagister

5 0
3 years ago
Read 2 more answers
F(x)=-3x-2 find f(3)
TiliK225 [7]

Answer:

f(3) = -11

Step-by-step explanation:

f(x) = -3x-2

let x=3 and replace it in the above equation

f(3) = -3(3) -2

f(3) = -9 -2

f(3) = -11


4 0
3 years ago
Factor -1/4 out of -1/2-5/4y
In-s [12.5K]
When we factor out something, we divide the factor by the equation. For example if we were to factor 3 out of 6, It will be 3(2). We got this answer by dividing 3 and 6. Using this concept:

\frac{-1}{4}[( \frac{-1}{2} / \frac{-1}{4}) - ( \frac{5}{4} y /  \frac{-1}{4})]

Simplifying:

\frac{-1}{4}(2 + 5y)

Hope this helps!
3 0
3 years ago
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