Question

The lowest point on the graph of y = f(x) is (-5, 1). What is the lowest point on the graph of y = 2f(x) - 1?

Answer 1

The lowest point on the graph of y = 2f(x) - 1 is (-5, 1).

Step-by-step explanation:

To find the lowest point on the graph of y = 2f(x) - 1, we can start with the lowest point on the graph of y = f(x), which is (-5, 1).

First, let's consider the x-coordinate of the lowest point on y = f(x), which is -5.

Now, for y = 2f(x) - 1, we need to substitute -5 into the formula:

y = 2f(-5) - 1

Since the x-coordinate stays the same, we only need to consider the y-coordinate, which is 1. We multiply it by 2 and subtract 1:

y = 2(1) - 1 = 2 - 1 = 1

Therefore, the lowest point on the graph of y = 2f(x) - 1 is (-5, 1).