Subjects › Algebra

Functions and graphs

Notation, domain and range, and transformations of graphs.

The idea

The transformation that trips everyone is the horizontal one: f(x + 3) moves the graph LEFT, not right, because the input has to be 3 smaller to give the same output.

Lesson

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Questions (4)

Question Type Difficulty Drift Accuracy
If f(x) = 2x² − 3, what is f(−2)? numeric Easy -1.20 — — (0)
The graph of y = f(x) is shifted to produce y = f(x + 3). Which way does it move? mcq Moderate 0.20 — — (0)
State the domain of f(x) = √(x − 4) / (x − 9) and explain each restriction. short Hard 0.80 — — (0)
If f(x) = 3x − 1 and g(x) = x², what is (f ∘ g)(2) — that is, f(g(2))? mcq Hard 1.30 — — (0)