Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.
Identify a vertical stretch or compression from the coefficient of a quadratic or absolute-value function
Problem
Identify the vertical stretch or compression in \(g(x)=3x^2\).
Big Picture
What this problem is really about
An outside coefficient multiplies outputs rather than shifting inputs or outputs by a fixed amount. We’ll compare its magnitude with one, apply the point mapping from y to a times y, and use the unchanged vertex and altered width to verify the vertical scale effect.
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