Question

The graphs below have the same shape. What is the equation of the blue
graph?

F(X) = x2

G(X) = ?

A. G(X) = x2 + 4
B. G(X) = x2-4
C. G(X) = (x+4)2
D. G(x) = (x-4)2

Answer 1

Answer:D

Step-by-step explanation:

Answer 2

The blue graph is a 4 unit horizontal shift of the red graph. The correct equation of g(x) = $(x-4)^{2}$.

What is horizontal shift?

Given a function  f , a new function  g(x)=f(x−h) , where  h  is a constant, is a horizontal shift of the function  f . If  h  is positive, the graph will shift right. If  h  is negative, the graph will shift left.

Thus, since, f(x) has shifted 4 units to the right horizontally, the correct equation of g(x) = $(x-4)^{2}$.

Learn more about horizontal shift here

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