What is the axis of symmetry of h(x) = -2x² + 12x - 3?
x = -15, x = -3, x = 3, x = 15

Solution:

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

The parabola faces downwards as the leading coefficient is negative.

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

Let the parabola be y = -2x² + 12x - 3.

Here, a = -2, b = 12 and c = -3.

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

x = -12/(2)(-2)

x = -12/ -4

x = 3

The axis of symmetry is x = 3

What is the axis of symmetry of h(x) = -2x² + 12x - 3?

Summary:

The angle of symmetry of the equation h(x) = -2x² + 12x - 3 is 3.