# 9.1 quadratic functions

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9.1 Quadratic Functions. Algebra 17.0, 21.0. Main Idea & Vocab. This chapter is all about quadratics! We begin our parabola journey with the basics in this lesson. Q uadratic equation : written in the form y= a x 2 + b x + c . - PowerPoint PPT PresentationTRANSCRIPT

9.1 Quadratic FunctionsAlgebra 17.0, 21.0

Main Idea & VocabThis chapter is all about quadratics!We begin our parabola journey with the basics in this lesson.

Quadratic equation: written in the form y=ax2 + bx + c.

Parabola: the curve created when you graph a quadratic equation.

Vertex: the center point which is the highest or lowest point of a parabola.

VocabularyDomain: the set of all x values of a function.

Range: the set of all y values of a function.

Function: A relation where every domain value is paired with exactly one range value. One to one!

Quadratics

Ex 1 Points On the GraphEx. 1: Points on GraphSubstituteSolveYes or No?

Practice 1

Ex 2 Graphing QuadraticsEx. 2 GraphingMake a table of at least 5 points

2) Plug in each x to find each y

3) Plot each point and connect with a curve

Practice

Ex 3- Identifying the Direction of a ParabolaWhen a quadratic is written in the form y=ax2 + bx + c, the value of a determines the direction the parabola opens!

Practice 3

Ex 4- Minimum & Maximum

Ex 4- Minimum & Maximum

Practice 4

Example 5Step 1: Identify the maximumStep 2: Find the domain and range.

ReviewWhat is the standard form of a quadratic equation?How do you know if a point is on the curve?How do you graph a quadratic equation?How do you identify the direction of a quadratic equation?How do you find the minimum and maximum value of a quadratic?

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