Question

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s? Robin’s graph is a reflection of Giselle’s graph over the x-axis. Robin’s graph is a reflection of Giselle’s graph over the y-axis. Robin’s graph is a translation of Giselle’s graph 1 unit down. Robin’s graph is a translation of Giselle’s graph 1 unit left.

Answer 1

Answer: First Option: Robin's graph is a reflection of Giselle´s graph over the x-axis.

A reflection of the graph f(x)=y is g(x)=-y. In this case y=x^2, then:
g(x)=-x^2 that corresponds with the Robin's function

Answer 2

Answer:

Robin’s graph is a reflection of Giselle’s graph over the x-axis.

Step-by-step explanation:

To reflect a function across the x-axis, replace y with -y.

To reflect a function across the y-axis, replace every x with -x.

To translate a function vertically, add or subtract a number to the end of the function.

To translate a function horizontally, add or subtract a number before any exponents are applied.

The difference between Robin's and Giselle's functions are the negative in front of x².  This is the same as making y negative; this is a reflection across the x-axis.