Common Core · High school

HSA-REI.B.4.A

High school — Use the method of completing the square to transform any quadratic equation in x into the form (x - p)^2 = q.

The skill that covers it

Quadratic Functions & ParabolasRead a parabola from its equation: find the vertex, the axis of symmetry and the zeros of y = ax^2 + bx + c, convert to vertex form by completing the square, and use the vertex to answer maximum and minimum questions.Read the lesson →

What a student should be able to do

Find the vertex and the axis of symmetry of $y = ax 2 +$ bx $+ c$ .
Find the zeros of a quadratic function and say where its graph crosses the x-axis.
Complete the square to write a quadratic in vertex form, and read the vertex from it.
Use the vertex to find the greatest height or the largest area in an application.

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