Quadratic Functions Worksheet - Lesson 36 Ma 152, Section 3.1, Purdue Math printable pdf download

Quadratic Functions Worksheet - Lesson 36 Ma 152, Section 3.1, Purdue Math

Lesson 36 MA 152, Section 3.1

Quadratic Functions





 , where a, b, and c are real numbers (general

A quadratic function of the form

f x

( )

bx c

form) has the shape of a parabola when graphed. The parabola will open upward if the value of a is

positive and downward is it is negative. The vertex is the point or ordered pair where the parabola

'turns'.







Ex 1: Graph the parabola

. Find its vertex and direction of opening.

We will use a table of values and plot the points.

3/2

-1

-5/2

-2

3/2

-3

This method is tedious. It will be easier to know how to find the vertex. We could also find intercepts

and use symmetry. Notice, the graph is symmetric about a vertical line through the vertex.

The vertex will be an ordered pair (h, k).

The axis of symmetry is a vertical line with through the vertex. Points have symmetry (equal distance)

 .

left and right about this vertical line. The equation will be x h

Quadratic Functions Worksheet - Lesson 36 Ma 152, Section 3.1, Purdue Math