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.
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Answer with explanation:
Equation of Parent Function
[tex]f(x)=x^3[/tex]
⇒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).
→ [tex]g(x)=x^3-2[/tex]
Graph C
Graph C is Horizontally Compressed Horizontally by a factor of 2, to obtain, h(x).
[tex]h(x)=2 x^3[/tex]