Math III · F-BF.3

Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.

Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.

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

Read signed horizontal and vertical shifts and verify an anchor

4 variants
Template 2

Read scales from the displayed A f(Bx) form

4 variants
Template 3

Select reflection axes and simplify the transformed function

4 variants
Template 4

Analyze a transformed radical graph with anchor, domain, and range

4 variants
Template 5

Analyze a transformed reciprocal parent and its asymptotes

4 variants
Template 6

Analyze a transformed exponential graph from a,b,h,k

4 variants
Template 7

Analyze a transformed logarithm and its domain boundary

4 variants
Template 8

Write an equation for a transformed parent function from key graph features

4 variants
Template 9

Identify graph features after inside and outside additions in a transformed function

4 variants
Template 10

Prove evenness using domain symmetry and f(-x)

4 variants
Template 11

Prove or disprove oddness using f(-x) and -f(x)

4 variants
Template 12

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

4 variants
Template 13

Interpret inside timing and outside baseline with units

4 variants
Template 14

Compare transformed graphs in parallel feature rows

4 variants