Question

The graphs below have the same shape. What is the equation of the redgraph?f(x) = 4-519(x) =g(x) =A. g(x) = -x2B. g(x) = x2C. g(x) = (4 - x)2D. g(x) = (8 - x)

Answer 1

The shape of the graph of h(x) and g(x) are the same.

As the graph of h(x) is 4 units above the g(x) , the relation between h(x) and g(x) can be determined as,

`\begin{gathered} h(x)=g(x)+4 \\ 4-x^2=g(x)+4 \\ g(x)=-x^2. \end{gathered}`

Thus, option (A) is the correct option.