Common Core · High school

HSA-SSE.B.3.B

High school — Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

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.

Every Common Core code covered by Math Vale