The graphs below have the same shape. What is the equation of the blue graph?
f(x) = x2
g(x) = ?
9(x) =
O A. g(x) = x² - 2
B. g(x) = (x - 2)2
c. g(x) = x + 2
D. Q(x) = (x + 2)2

B

Step-by-step explanation:

The red graph is represented by the function:

And we want the equation of the blue graph.

We can see that the blue graph is simply the red graph shifted 2 units horizontally to the right.

A horizontal transformation is given by:

Where h is the number of units we shift (to the right).

Since we shifted two units to the right, h = 2.

So, our new function will be:

Therefore:

Our answer is B.

Notes:

A represents a vertical shift of two units downwards.

C (assuming it is x²) represents a vertical shift of two units upwards.

And D (if you let h = -2, then f(x - (-2)) = f(x + 2) = (x + 2)²) is a horizontal shift of two units to the left.

answer: 177/8

step-by-step explanation: