9-4 Using Transformations to Graph Quadratic Functions ...

Using

Transformations

to Graph

Graph

Using

Vertex

Form

to

9-4

9-4 Quadratic Functions

Quadratic Functions

Students will use vertex form to graph

quadratic equations and describe

transformations from the parent function

Students

will

use vertexaccuracy.

form to graph quadratic functions and describe the transformations from

with

70%

the

parent

function

with 70%

Holt

McDougal

Algebra

2 accuracy.

9-4

Using Transformations to Graph

Quadratic Functions

If a parabola opens upward, it has a lowest point. If a

parabola opens downward, it has a highest point.

This lowest or highest point is the vertex of the

parabola.

The parent function f(x) = x2 has its vertex at the origin.

You can identify the vertex of other quadratic functions

by analyzing the function in vertex form.

The vertex form of a quadratic function is

f(x) = a(x ¨C h)2 + k, where a, h, and k are constants.

Students will use vertex form to graph quadratic functions and describe the transformations from

the

parent

function

with 70%

Holt

McDougal

Algebra

2 accuracy.

9-4

Using Transformations to Graph

Quadratic Functions

y = a(x - h)2 + k

? ¡®h¡¯ (a number is inside parenthesis)

¨C Addition: moves left

Subtraction: moves right

? ¡®k¡¯ (a number is outside parenthesis)

¨C Addition: moves up

Subtraction: moves down

? ¡®a¡¯

¨C Vertical stretch/shrink

¨C If negative, graph is reflected over x-axis (flipped)

Students will use vertex form to graph quadratic functions and describe the transformations from

the

parent

function

with 70%

Holt

McDougal

Algebra

2 accuracy.

9-4

Using Transformations to Graph

Quadratic Functions

Students will use vertex form to graph quadratic functions and describe the transformations from

the

parent

function

with 70%

Holt

McDougal

Algebra

2 accuracy.

9-4

Using Transformations to Graph

Quadratic Functions

Because the vertex is translated h horizontal

units and k vertical from the origin, the vertex

of the parabola is at (h, k).

Helpful Hint

When the quadratic parent function f(x) = x2 is

written in vertex form, y = a(x ¨C h)2 + k,

a = 1, h = 0, and k = 0.

Students will use vertex form to graph quadratic functions and describe the transformations from

the

parent

function

with 70%

Holt

McDougal

Algebra

2 accuracy.

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download