Question

The parabola y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3 What is the equation of the new parabola? y=? if anyone can he quickly it would be greatly appreciated its due today soo

Answer 1

`y=-(4)/(3)x^(2)`

Explanation:

The given parabola is a parent function, that is, it's the simplest form of a parabola.

The first transformation is about a reflection across the x-axis, this means that we need to multiplied the squared factor by a negative signed, that is

`y=-x^(2)`

This represents a parabola reflected across the x-axis.

The second transformation is about a scale factor of 4/3, this means that the function has to be multiplied by this factor to obtain the transformation. The expression would be

`y=-(4)/(3)x^(2)`

Therefore, this final expression represents the function reflected across the x-axis and scaled by a factor of 4/3.

Answer 2

Answer: y =
`-(4)/(3)x^(2)`

Explanation:

y = ax² ; where a represents the vertical stretch

a reflection across the x-axis is represented by making the a-value negative.