Question

The parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by graph B and graph C.

Answer 1

1.) x + 2y 5 and 3x + y 4

Answer 2

Answer with explanation:

Equation of Parent Function

`f(x)=x^3`

⇒Graph B

If you will look at the graph of function B, it passes through , (0,-2) and (-1,-1),cuts the X axis at Once.The curve is not Linear as the curve is not a straight line.

There are two vertical Asymptote of this function.

The function is shifted vertically down by 2 units to obtain g(x).

→
`g(x)=x^3-2`

Graph C

Graph C is Horizontally Compressed Horizontally by a factor of 2, to obtain, h(x).

`h(x)=2 x^3`