Respuesta :

The axis of symmetry is the vertex's x value.. You can find this by using the following formula:

[tex]\frac{-b}{2a}[/tex]

[tex]\frac{-20}{2(-2)} = \frac{-20}{-4} = 5[/tex]

So x = 5 which mean our axis of symmetry is at x = 5

Answer:

The axis of symmetry is x=5

Step-by-step explanation:

Given function is :

f(x)=[tex]2x^{2} +20x-42[/tex]

We can use the formula [tex]x= \frac{-b}{2a}[/tex] for the axis of symmetry.

[tex]\frac{-20}{2(-2)} =5[/tex]

Therefore, the axis of symmetry is x=5

Axis of symmetry is the line of symmetry of a parabola that divides it into two equal halves. These halves are reflections of each other about the line of symmetry.