Question

In the graph, g (x) is transformation of the parent function f (x)=x³. The graph below shows f as a solid blue line and g as a dotted red line. which equation describes g (x)A) g (x)=2(-x-1)³-3B) g (x)=-2(x+1)³-3C) g (x)=2(-x+1)³-3D) g (x)=2(-x+1)³+3

Answer 1

we have the following:

• We can discard option b, since the value is -3, and not + 3

,

• and that for when it is 1, it is equal to -3, what is raised to 3 must be 0, and the only option for 0 is the following

$-x+1=-1+1=0$

therefore, the answer is the opcion C.

$g(x)=2\mleft(-x+1\mright)^3-3$