Question

What is the axis of symmetry for the graph of y = -2x + 16x - 7?

O x= -8
O x = 8
O x=-4
O x = 4
I need the answer

Answer 1

The axis of symmetry for the graph of y = -2x² + 16x - 7 will be:

x = 4

Hence, the last option i.e. x = 4 is the correct option.

Explanation:

Given the equation

`y\:=\:-2x^2\:+\:16x\:-\:7`

For a parabola in standard form y = ax² + bx + c

The axis of symmetry is the vertical line that goes through the vertex x = -b/2a

so

The axis of symmetry for y = ax² + bx + c is x = -b/2a

In our case,

`a=-2,\:b=16`

Therefore,

x = -16/2(-2)

x = -16 /-4

x = 16/4

x = 4

Therefore, the axis of symmetry for the graph of y = -2x² + 16x - 7 will be:

x = 4

Hence, the last option i.e. x = 4 is the correct option.