Question

The parabola y=x^2y=x 2 y, equals, x, start superscript, 2, end superscript is reflected across the xxx-axis and then scaled vertically by a factor of 555. What is the equation of the new parabola? Y=

Answer 1

ANSWER

The equation of the new parabola is

$y = - 5 {x}^{2}$

EXPLANATION

The given parabola has equation:

$y = {x}^{2}$

If this parabola is reflected in the x-axis, its equation becomes :

$y = - {x}^{2}$

When this parabola is scaled vertically by a factor of 5, the equation becomes,

$y = - 5 {x}^{2}$