Question

If this is the graph of f(x) = a^(x+h)+k

Answer 1

C. 0 < a < 1

Explanation:

`\text{For}\ f(x)=a^((x+h))+k\\\\\text{always}\ a>0\\\\\text{If}\ a>1,\ \text{then the function is  increasing}\\\\\text{If}\ 0<a<1,\ \text{then the function is decreasing}\\\\<-h,\ k>-\text{translation vector}\\\\============================`

`\text{From the graph:}\\\\\text{the function is decreased}\to 0<a<1\\\\h<0\\\\k>0`

Answer 2

The correct answer is: Option: C

C. 0<a<1

Explanation:

We are given a graph of a exponential function as:

`f(x)=a^(x+h)+k`

We know that the function is a exponential decay function if: 0<a<1

and it represents a exponential growth function if: a>1

Hence, by looking at the graph we observe that the graph is continuously decreasing with increasing values of x.

This means that the graph is a graph of exponential decay function.

Hence, we get: 0<a<1