Question

A function f(x)=3^x is transformed into the function g(x)=-3^x+4 -7

Choose the transformations that occurred. Choose all that apply.

Group of answer choices

Horizontal Shift Left

Vertical Shift Up

Vertical Shift Down

Horizontal Shift Right

Vertical Stretch

X-axis Reflection

Vertical Compression

Answer 1

The order of transformation is X-axis Reflection, Vertical Shift Up and then Vertical Shift Down.

Explanation:

A function
`f(x) = 3^(x)` is transformed into the function
`g(x) = - 3^(x) + 4 - 7`.

Now, there is a reflection across the x-axis of the original function to make it
`f(x) = - 3^(x)`.

Then there is a vertical shift up by 4 units to transform it to
`f(x) = - 3^(x) + 4`.

Again, there is a vertical shift down by 7 units to transform it to
`f(x) = - 3^(x) + 4 - 7`.

So, the order of transformation is X-axis Reflection, Vertical Shift Up and then Vertical Shift Down. (Answer)