Problem preview
F-IF.8.a Warmup M2-023-A07-V02

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

Choose the equivalent quadratic form that best reveals zeros

Problem

Rewrite \(x^{2}+6x+5\) in the form that exposes its vertex directly. Complete the square by adding and subtracting \(9\), verify the expansion, and state the vertex visible from the result.

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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
Choose the equivalent quadratic form that best reveals zeros