Question

The graph below shows the same shape was pushing the blue graph

Answer 1

These are some Rules for the transformations of a function f(x):

a. If the function is shifted left "h" units, then:

$f(x+h)$

b. If the function is shifted right "h" units:

$f(x-h)$

c. If the function is shifted up "h" units:

$f(x)+h$

d. If it is shifted down "h" units:

$f(x)-h$

Notice that the red graph is this function:

$F(x)=x^2$

And both have the same shape, but the blue one is moved to the left 2 units. Therefore the equation of the blue graph is:

$G(x)=(x+2)^2$

THE ANSWER IS OPTION A.