Question

The graph shows the parent function f(x)=0.75x. Which graph represents the function g(x)=(0.75)^x +1?

Answer 1

When doing shifts on functions we can consider that there are vertical and horizontal shifts.

When the function has a change in the form

`y=(a)^{x\pm b^{}}`

there is a horizontal shift happening, if it is positive then the graph moves b units to the left and if it is negative the function moves b units to the right.

When the change is in the form

`y=a^x\pm b`

there is a vertical shift happening, if it is positive then the graph moves b units up, and if it is negative the function moves b units down.

in this case, the graph is moving 1 unit up.

the correct answer option is