Question

The graphs below have the same shape the equation of the red graph is f(x) =x^2. What is the equation of the blue graph?

Answer 1

`G(x)=(x-6)^2`

which agrees with the answer D of your options

Explanation:

Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:

`G(x)=(x-6)^2`