# 3 Act Math Tasks

## Organized by the Common Core States Standard (CCSS) Initiative

**Not Common Core? Go to Ontario Curriculum alignment**

# Functions

## F-BF.3

**Overall Expectation Description:**

## F-BF.3 – High School Functions – Building Functions

Build new functions from existing functions.Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

## Related 3 Act Math Tasks:

## Will It Hit The Hoop?

### Will the ball go in the hoop?

**Shared By:**

Dan Meyer

**Math Topic:**

Build new functions from existing functions. In particular, Quadratic Functions.

**Common Core State Standard Alignment:**