Question

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

Answer 1

Answer:

D

Step-by-step 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