What is the axis of symmetry of h(x) = 5x² + 40x + 64?
x = - 16, x = - 4, x = 4, x = 16

Solution:

The axis of symmetry is the line that divides a parabola into two identical parts. 

The parabola faces upwards as the leading coefficient is positive.

The axis of symmetry of the given parabola is along the y-axis.

The axis of symmetry is a vertical line and is given by x = - b/ 2a

Given the parabola y = 5x² + 40x + 64.

Here, a = 5, b = 40 and c = 64.

The axis of symmetry is x = - b/ 2a

Let's solve for x

x = - 40/ (2) (5)

x = - 40/ 10

x = - 4

The axis of symmetry is x = - 4

What is the axis of symmetry of h(x) = 5x² + 40x + 64?
x = - 16, x = - 4, x = 4, x = 16

Summary:

The angle of symmetry of the equation h(x) = 5x² + 40x + 64 is - 4.