Math II · F-BF.3

Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.

Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.

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Concept Functions
Domain Building Functions
Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Interpret f(x)+k as a vertical shift of a quadratic or absolute-value function

4 variants
Template 2

Identify the horizontal shift of a quadratic or absolute-value function

4 variants
Template 3

Identify a vertical stretch or compression from the coefficient of a quadratic or absolute-value function

4 variants
Template 4

Identify a reflection across the x-axis from a transformed quadratic or absolute-value function

4 variants
Template 5

Determine the effect of replacing x with -x in a function rule

4 variants
Template 6

Write a quadratic function from a vertex and one other graph feature

4 variants
Template 7

Write an absolute-value function from its vertex, opening direction, and arm steepness

4 variants
Template 8

Describe the graph of a transformed quadratic or absolute-value function from its equation

4 variants
Template 9

Compare transformations of two quadratic or absolute-value functions from their equations

4 variants
Template 10

Determine whether a transformed quadratic or absolute-value function is even

4 variants
Template 11

Determine whether a function is odd by comparing f(-x) and -f(x)

4 variants
Template 12

Classify a function as even, odd, both, or neither

4 variants
Template 13

Transform a function table using a given rule

4 variants
Template 14

Interpret a transformed quadratic or absolute-value function in context

4 variants