Problem preview
F-BF.3 Warmup M1-018-A04-V01

Analyze graph transformations caused by f(x)+k, kf(x), f(kx), and f(x+k); identify even/odd functions.

Describe a horizontal scale or reflection

Problem

Describe the horizontal scale/reflection from \(f(x)\) to \(f(2x)\).

Big Picture

What this problem is really about

A multiplier inside the function changes horizontal coordinates by its reciprocal. We’ll match a transformed input to the original feature input, solve for the new x-coordinate, and verify the result with corresponding points on the two graphs. The reciprocal’s magnitude determines stretch or compression, while the inside multiplier’s sign determines whether a reflection also occurs.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-BF.3
Category
Functions
Domain
Building Functions
Objective
Analyze graph transformations caused by f(x)+k, kf(x), f(kx), and f(x+k); identify even/odd functions.
Problem type
Describe a horizontal scale or reflection