Question

The vertex form of a function is g(x) = (x-3)2 + 9. How does the graph of g(x) compare to the graph of the func

f(x) = x²?
O g(x) is shifted 3 units left and 9 units up.
g(x) is shifted 3 units right and 9 units up.
g(x) is shifted 9 units left and 3 units down.
g(x) is shifted 9 units right and 3 units down.

Answer 1

The graph of g(x) is shifted 3 units to the right and 9 units up compared to the graph of f(x) = x^2.

Step-by-step explanation:

The vertex form of a quadratic function is of the form g(x) = a(x-h)^2 + k, where (h,k) represents the coordinates of the vertex. In this case, the vertex form of g(x) is g(x) = (x-3)^2 + 9. Comparing the given equation to f(x) = x^2, we can see that g(x) is shifted 3 units to the right from f(x) and 9 units up.

Learn more about comparison of graphs of quadratic functions