Use transformations of the graph of f(x)=x2 to determine the graph of the given function. g(x)=(x−7)2

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  g(x) is a translation of the graph right 7 units

Step-by-step explanation:

Translation of the graph of f(x) right h units and up k units is accomplished by ...

  g(x) = f(x -h) +k

Here, we have h = 7 and k = 0, so the graph of f(x) is translated right 7 units to make the graph of g(x).

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)