Question

The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that apply (choose two)

Answer 1

A and C

Explanation:

Answer 2

Answer: Options A and C.

Explanation:

The parent exponential function has the form:

`f(x)=b^x`

This can be transformated as following:

When you multiply the function by a factor a (
`a*f(x)`) and a>0 , then the function is vertically stretched.

When you add a number k to the parent function, the function is shifted up (
`f(x)+k`)

The parent function given in the problem is:

`f(x)=2^x`

To obtain the function
`g(x)=3*2^x+5`, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.