Math II · F-IF.8.a

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

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

Branded illustration for Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Concept Functions
Domain Interpreting Functions
Problem Types

Problem Templates In This Objective

13 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Identify the zeros of a quadratic from factored form

4 variants
Template 2

Identify the axis of symmetry of a quadratic from factored form

4 variants
Template 3

Find the vertex of a quadratic from factored form

4 variants
Template 4

Identify the vertex from completed-square form of a quadratic

4 variants
Template 5

Read a quadratic extremum into separate fields

4 variants
Template 6

Find the y-intercept of a quadratic from its equation

4 variants
Template 7

Choose the equivalent quadratic form that best reveals zeros

4 variants
Template 8

Factor a quadratic and solve its zero factors

4 variants
Template 9

Complete the square and identify the extremum

4 variants
Template 10

Match quadratic forms to directly visible features

4 variants
Template 11

Derive an exact quadratic sketch fingerprint

4 variants
Template 12

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

4 variants
Template 13

Decide quadratic equivalence by coefficient comparison

4 variants