*f(x)*by

*f(x)*+

*k*,

*kf(x)*,

*f(kx)*and

*f(x+k)*for specific values of

*k*.

### Clarifications

*Clarification 1*: Within the Algebra 1 course, functions are limited to linear, quadratic and absolute value.

*Clarification 2*: Instruction focuses on including positive and negative values for *k*.

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**912

**Strand:**Functions

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Related Courses

## Related Access Points

*F(x)*by

*f(x)*+

*k*and

*f(x + k)*for specific values of

*k*.

## Related Resources

## Formative Assessments

## Original Student Tutorials

## MFAS Formative Assessments

Students are asked to compare the graphs of four different linear functions to the graph of *f*(*x*) = *x*.

Students are given the graph of *f*(*x*) = *x*^{2} and are asked to compare the graphs of five other quadratic functions to the graph of *f*.

## Original Student Tutorials Mathematics - Grades 9-12

Visualize the effect of using a value of k in both *kf*(*x*) or *f*(*kx*) when k is greater than zero in this interactive tutorial.

Learn how reflections of a function are created and tied to the value of *k* in the mapping of *f*(*x*) to -1*f*(*x*) in this interactive tutorial.

Explore translations of functions on a graph that are caused by *k* in this interactive tutorial. GeoGebra and interactive practice items are used to investigate linear, quadratic, and exponential functions and their graphs, and the effect of a translation on a table of values.

## Student Resources

## Original Student Tutorials

Visualize the effect of using a value of k in both *kf*(*x*) or *f*(*kx*) when k is greater than zero in this interactive tutorial.

Type: Original Student Tutorial

Learn how reflections of a function are created and tied to the value of *k* in the mapping of *f*(*x*) to -1*f*(*x*) in this interactive tutorial.

Type: Original Student Tutorial

Explore translations of functions on a graph that are caused by *k* in this interactive tutorial. GeoGebra and interactive practice items are used to investigate linear, quadratic, and exponential functions and their graphs, and the effect of a translation on a table of values.

Type: Original Student Tutorial