1. Functions

1.01 Review: Relations and functions

1.02 Function families and transformations

1.03 Choosing appropriate models

1.04 Domain and range and continuity

1.05 Characteristics from a graph

1.06 Average rates of change

1.07 Comparing function types

1.08 Solutions from a graph

1.09 Operations with functions

1.10 Inverse relations and functions

United States of America NY

Algebra II

1.02 Function families and transformations

Interactive practice questions

How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?

Move the graph up by $4$4 units.

A

Move the graph down by $4$4 units.

B

Easy

< 1min

How do we shift the graph of $y=g\left(x\right)$y=g(x) to get the graph of $y=g\left(x+6\right)$y=g(x+6)?

Easy

< 1min

Consider the equation $y=4x$y=4x.

Easy

< 1min

The function $y=-5x^2$y=−5x2 has what dilation factor?

Easy

< 1min

Outcomes

AII-F.BF.3b

Using f(x) + k, k f(x), f(kx), and f(x + k): i) identify the effect on the graph when 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); ii) find the value of k given the graphs; iii) write a new function using the value of k; and iv) use technology to experiment with cases and explore the effects on the graph. *Include recognizing even and odd functions from their graphs.

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