Question

Which of the following describes the transformation of the graph y = x^2 in graphing y = -x^2 - 5?


1.) reflect over the x-axis and shift down 5

2.) reflect over the y-axis and shift down 5

3.) reflect over the x-axis and shift left 5

Answer 1

Factor the negative out, for starters.

Answer 2

Don't bother.
Start with y = x^2

Then add the negative
y = -x^2
That flips it over the x-axis

Then - 5
y = -x^2 - 5
That moves it down 5 units

Answer 3

Thank you!:) @BangkokGarrett