If the graph is decreasing from left to right, which of the following equations may be represented by it.

1. y = 2^x + 1
2. y = -2^-x + 1
3. y = 2^-x – 1
4. y = 2^-x + 1

3 and 4

Why is it 3 and 4?

To determine which equation may be represented by a graph that is decreasing from left to right, we need to analyze the behavior of each equation.

Let's break down each option:

1. y = 2^x + 1

If we substitute different values for x, we will notice that the graph of this equation increases as x increases. Therefore, it does not represent a decreasing graph.

2. y = -2^-x + 1

Here, the base of the exponent is -2, which means that as x increases, the value of the exponential term (-2^-x) becomes smaller, resulting in a decreasing graph. Therefore, this equation may be represented by a graph that is decreasing from left to right.

3. y = 2^-x – 1

Similar to option 1, the base 2 of the exponential term here will cause it to increase as x increases. Therefore, it does not represent a decreasing graph.

4. y = 2^-x + 1

Like option 3, the base 2 in the exponential term will cause it to increase as x increases. Thus, it does not represent a decreasing graph.

So, the equation that may be represented by a graph that is decreasing from left to right is:

2. y = -2^-x + 1