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The graph of f(x) has been scaled horizontally. Use a point on the graph of g(x) to determine the horizontal scale.
To obtain g(x), we must translate the graph of f(x) 2 units up and then stretch it horizontally by a factor of 21.
We are given the graphs of two functions, namely, f(x)=x2 and g(x).
We see that the graphs of g(x) and h(x) still do not match. However, we can see that the graph of g(x) is wider, which means that we have to make a horizontal stretch. In other words, g(x)=h(ax).
x=a⋅2
h(a⋅2)=3
Calculate power
LHS−2=RHS−2
LHS/4=RHS/4
LHS=RHS
Calculate root
Rearrange equation