Respuesta :

Answer:

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.

Step-by-step explanation:

Given the equation

[tex]y\:=\:-2x^2\:+\:16x\:-\:7[/tex]

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,

[tex]a=-2,\:b=16[/tex]

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.

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