Question

Please help me with this problem The graph of the function g(x) is a transformation of the parent function f(x)=x2.Which equation describes the function g? g(x)=(x−4)2g(x)=x2+4g(x)=(x+4)2g(x)=x2−4

Answer 1

`g(x)=x^2-4`

1) Note that in the graph, we can see a Vertical Translation down to 4 units.

2) Whenever we have the parent function with a number added outside the square term, we can have a vertical shift. Since it is down then we can write a negative number.

3) Thus, the answer is:

`g(x)=x^2-4`