Question

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

Answer 1

Answer:

C. $g(x)=(x-2)^2$

Step-by-step explanation:

Remember the rules for function transformations:

- $f(x+a)$ shifts the function, $f(x)$, $a$ units to the left

- $f(x-a)$ shifts the function, $f(x)$, $a$ units to the right

We can infer from the picture that the blue graph is shifted 2 units to the right of the red graph, so we should apply the second rule:

$f(x)=x^2$

$g(x-2)=(x-2)^2$

$g(x)=(x-2)^2$

We can conclude that the correct answer is C. $g(x)=(x-2)^2$