Question

The minimum point on the graph of the function f(x) is (-4, -1). What is the minimum point on the graph of the function f(x + 2)?

A. (-4, -3)
B. (-4, 1)
C. (-2, -1)
D. (-6, -1)

Answer 1

To find the minimum point of the function f(x + 2), we need to shift the graph of f(x) 2 units to the left. The minimum point on the graph of f(x + 2) is (-2, -1).

Step-by-step explanation:

To find the minimum point of the function f(x + 2), we need to shift the graph of f(x) 2 units to the left.

This is done by replacing x in the original function with (x + 2). So the minimum point on the graph of f(x + 2) will have an x-coordinate of -4 + 2 = -2.

Now let's find the y-coordinate of the minimum point.

Since the minimum point on the graph of f(x) is (-4, -1), we know that f(-4) = -1. To find f(-2), we need to substitute -2 into the function f(x).

Let's assume the function is y = f(x). So, y = f(-2) = f(-4 + 2) = f(-4).

Since we know that f(-4) = -1, the minimum point on the graph of f(x + 2) is (-2, -1).

So the correct answer is C. (-2, -1).