Question

Which of the following describes the transformation of the graph y= x2 in graphing y=-x2.5?
reflect over the x-axis and shift down 5
reflect over the y-axis and shift down 5
reflect over the x-axis and shift left 5

I think the correct answer is the last but I’m not sure please help me if you know!:)

Answer 1

Answer:

reflect over the x-axis and shift down 5

Step-by-step explanation:

Assuming the transformed graph has equation.

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

and the parent function is

$y = {x}^{2}$

Then the transformed function is obtained by reflecting the parent function in the x-axis and then shifting it down by 5 units.

The coy option is reflect over the x-axis and shift down 5 units.