Question

Can you help me solve? Write the equation for the function that results from each transformation applied to the base function. Example: f(x)=(1/3^x) Problem: Reflect in the x-axis (vertical reflection)

Answer 1

Answer:

Given that,

$f(x)=(\frac{1}{3})^x$

To write the equation for the function that f(x) is transformed reflect in the x-axis.

we have the principal as,

y=-f(x) is the reflection of the graph y=f(x) in the x axis and y=f(-x) is the reflection of the graph y=f(x) in the y axis.

Here to find the equation reflect in the x axis

y=-f(x)

we get,

$y=-f(x)=-(\frac{1}{3})^x$

The required equation is,

$f(x)=-(\frac{1}{3})^x$