Question

The minimum point on the graph of the equation y = f(x) is (-2, -5). What is the minimum point on the graph of the equation y = f(x - 7)?

A) (-9, -5)
B) (-2, -12)
C) (5, -2)
D) (-2, -5)

Answer 1

The minimum point on the graph of y = f(x - 7) is (5, -5).

Step-by-step explanation:

To find the minimum point on the graph of y = f(x - 7), we need to determine how the graph of y = f(x - 7) relates to the graph of y = f(x). When we replace x with x - 7, it shifts the graph of y = f(x) 7 units to the right. Therefore, the new minimum point will be at (-2 + 7, -5), which simplifies to (5, -5).

So, the correct answer is C) (5, -5).