Question

Need help with my homework please help me :(

Answer 1

Option D)
`g(x) = (3.5)^(x) - 2` is correct

Explanation:

Focus on the easy point like (0,-1) from the graph.

Insert this point in all four options.

1) y = 1 - 1 = 0, but should be -1. So wrong.

2) y = 1 + 1 = 2, but should be -1. So wrong.

3) y = 1 + 1.5 = 2.5, but should be -1. So wrong.

4) y = 1 - 2 = -1, And so it is correct.

Should also verify by inserting other values on graph.

We can also say by the fact that,
`g(x) = (3.5)^(x)` , being the parent equation, by transformation rule, the graph is brought down by 2. Thus g(x) -2.