Question

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

Answer 1

D

Explanation:

The red graph is vertically shifted from the blue graph. Let's understand horizontal and vertical shifts.

If we have a graph of
`f(x)=x^2`, then

• f(x) + a is a units shifted vertically up
• f(x) - a is a units shifted vertically down
• f(x-b) is b units shifted horizontally right
• f(x+b) is b units shifted horizontally left

Since the red one is vertically shifted 3 units up (compared to blue graph), the equation would be:

`g(x)=f(x)+3\\g(x)=x^2 + 3`

Correct answer is D