Problem preview
F-BF.3 Warmup M1-018-A06-V01

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

Describe reflection across the y-axis

Problem

Use the graph to describe the transformation from \(f(x)\) to \(f(-x)\), including its effect on coordinate values.

Big Picture

What this problem is really about

A negative inside the function changes the input before the output is produced. We’ll express that as a coordinate mapping and compare the graph’s paired points, watching for the coordinate that changes sign and the one that remains unchanged. Their equal distances from an axis will reveal the corresponding reflection.

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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 reflection across the y-axis