Question

Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 - 3?

reflect over the x-axis and shift left 3
reflect over the x-axis and shift down 3
reflect over the y-axis and shift down 3

Answer 1

@NOpanda14 @NarWhalGod @SkyVoltage43 @BenLindquist

Answer 2

@ccowart22

Answer 3

I'm terrible at math, but theres this website called MathWay.com where you can type both of these in and itll graph it for you, and you can easily tell the difference.

Answer 4

A negative is applied to the original equation of \({x^{2}}\) to make \({-x^{2}}\) this means a reflection over the x-axis.

Now take notice that we have `-3` outside of \(\bf{-x^{2}}\) this means vertical translation.

Since it is `-3` this means a shift downwards of 3 units.

I would suggest desmos.com for graphing problems >.>