Answer:
Option D) [tex]g(x) = (3.5)^{x} - 2[/tex] is correct
Step-by-step 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, [tex]g(x) = (3.5)^{x} [/tex] , being the parent equation, by transformation rule, the graph is brought down by 2. Thus g(x) -2.
