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F-IF.8.a Warmup M2-023-A13-V02

Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.

Find a missing parameter in a quadratic from its structured form and a given feature

Problem

Find the missing parameter \(h\) in \(f(x)=(x-h)^2+5\) if the axis of symmetry is \(x=3\).

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.8.a
Category
Functions
Domain
Interpreting Functions
Objective
Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Problem type
Find a missing parameter in a quadratic from its structured form and a given feature