Question

The parabola y=x^2 squared is reflected across the X axis and then scaled vertically by a factor of five. What is the equation of the new Parabola?

Answer 1

Answer: $y=-5x^2$

Step-by-step explanation:

Knowing that the parent function of a quadratic function is $y=x^2$, it can be transformated.

If $y=-x^2$ then the parabola is reflected over the x-axis.

If  $y=ax^2$, and $|a|>1$, then the parabola is stretched vertically.

Therefore, in this case,  if the parabola is reflected across the x-axis and then scaled vertically by a factor of five, the new equation of the parabola is the following:

$y=-5x^2$

Where $|a|>1$