Question

Identify the vertex of the quadratic function given by the equation f(x) = -x² + 8x - 14.

Answer 1

Answer: (4, 2)

Explanation:

1) Identify the values of a, b, and c.

a = -1

b = 8

c = -14

2) Use the vertex formula to find the x-value of the vertex.

`{\displaystyle x={\frac {-b}{2a}}}`

`{\displaystyle x={\frac {-8}{2(-1)}}}`

`{\displaystyle x={\frac {-8}{-2}}}`

`{\displaystyle x=4`

3) Plug the value into the original equation to get the y value.

f(x) = -x² + 8x - 14

f(x) = -(4)² + 8(4) - 14

f(x) = -(16) + 32 - 14

f(x) = 2

3) Put it in an ordered pair

(4, 2)