Question

The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8.
What is the equation of the new parabola?

Answer 1

ANSWER

The new equation is:

$y = - \frac{1}{8} {x}^{2}$

EXPLANATION

The given parabola has equation,

$y = {x}^{2}$

This is the parent function.

When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.

The new equation becomes:

$y = - \frac{1}{8} {x}^{2}$

Answer 2

Answer:

y = -1/8 x^2

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