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

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

Explanation:

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2.

Giselle graphs the function f(x) = x^2.

The quadratic equation is in the form of y=ax^2 + bx+c

when a= positive then parabola opens up

when a= negative then parabola opens down

f(x)= x^2 the graph of parabola opens up

g(x)= -x^2 , the graph of the parabola opens down

So the graph is reflected across x axis

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

Answer 2

Answer: A) Robin´s graph is reflection of Giselle´s graph over the x-axis.