# Exploring effects of k

In this worksheet is a base function f(x) and it is being transformed by a k value in different ways. There is a slider to change k and 4 buttons to change how k effects the function. Each button has a lable which shows how the new function is writen with f(x) and k.

## Qestions Below

For each questions below generalize the effect of k on a linear, quadratic, and exponential function.

## Quadratic

How does changing k effect the graph of f(x) in the form f(x)+k?

How does changing k effect the graph of f(x) in the form f(x+k)?

How does changing k effect the graph of f(x) in the form kf(x)?

How does changing k effect the graph of f(x) in the form f(kx)?

## Exponential

How does changing k effect the graph of f(x) in the form f(x)+k?

How does changing k effect the graph of f(x) in the form f(x+k)?

How does changing k effect the graph of f(x) in the form f(kx)?