Question

The graphs below have the same shape. f(x) = x^2.What is the equation of the graph of g(x)?O A. g(x) = x^2 + 4O B. g(x) = x^2 - 4O C. g(x) = (x+ 4)^2O D. g(x)= (x-4)^2

Answer 1

D. g(x) = (x - 4)^2

EXPLANATION :

Note that the translation in parabola :

`\begin{gathered} f(x)=(x\pm c)^2 \\ \text{ where c is the horizontal movement} \\ \text{ c is positive if the movement is to the left} \\ \text{ c is negative if the movement is to the right} \end{gathered}`

From the graph, g(x) is 4 units to the right of f(x)

Then c must be -4

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