Problem preview
F-BF.3 Warmup M1-018-A09-V01

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

Transform a table using a vertical function transformation

Problem

Use the transformation table below to complete the missing \(g(x)\) values.

Big Picture

What this problem is really about

Because the operation is outside the function, it transforms outputs while leaving the inputs paired with them unchanged. We’ll read each original output from the table, apply the same vertical change row by row, and keep every x-value fixed. A final comparison should show the same output difference in all rows.

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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
Transform a table using a vertical function transformation