Question

What is the equation of the axis of symmetry of this parabola? y=-5(x+4)^2+3

Answer 1

Answer:

$x=-4$

Step-by-step explanation:

Given the equation of parabola

$y=-5(x+4)^2+3$

This is the vertex form of the parabola equation. Hence, the vertex of the parabola is at point $(-4,3)$

This parabole goes downwards in y-direction (the leading coefficient -5 is negative)

The axis of symmetry of parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Thus, the equation of the axis of symmetry is

$x=-4$