Math II · A-REI.4.a

Complete the square to transform quadratics and derive the quadratic formula.

Complete the square to transform quadratics and derive the quadratic formula.

Concept Algebra
Domain Reasoning with Equations and Inequalities
Problem Types

Problem Templates In This Objective

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

Template 1

Complete the square for a quadratic of the form x² + bx + c

4 variants
Template 2

Complete the square for a quadratic when the leading coefficient is not 1

4 variants
Template 3

Rewrite a quadratic in standard form as vertex form by completing the square

4 variants
Template 4

Solve a monic quadratic equation by completing the square

4 variants
Template 5

Find the term to add to x² + bx to complete the square

4 variants
Template 6

Find the value to add to x² + bx to complete the square

4 variants
Template 7

Add the completing-square term when deriving the quadratic formula

4 variants
Template 8

Find the term to add when completing the square in x² + (b/a)x

4 variants
Template 9

Identify the maximum or minimum of a quadratic written in vertex form

4 variants
Template 10

Complete the square exactly for a monic quadratic with a fractional x-coefficient

4 variants
Template 11

Transform a monic quadratic equation into a perfect-square equation by completing the square

4 variants
Template 12

Interpret a completed-square quadratic model in context

4 variants