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Math 3 Lesson 5

The document introduces quadratic equations and their graphs. It discusses key features of quadratic graphs like the vertex and parabolas. Examples are provided of graphing quadratic equations in standard form and analyzing transformations by changing coefficients or constants. The last few pages involve graphing more complex quadratic expressions and identifying their components.

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286 views11 pages

Math 3 Lesson 5

The document introduces quadratic equations and their graphs. It discusses key features of quadratic graphs like the vertex and parabolas. Examples are provided of graphing quadratic equations in standard form and analyzing transformations by changing coefficients or constants. The last few pages involve graphing more complex quadratic expressions and identifying their components.

Uploaded by

api-444439435
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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November 30, 2017

Lesson 5.2:

Introduction to the QUADRATIC:

I will be able to:


- distinguish between linear
Objective:
and quadratic equations and
their corresponding graphs
- analyze transformations of
quadratic equations

1
November 30, 2017

We are going to graph y = x 2


Find 5 ordered pairs by plugging in the values for x:

x -2 -1 0 1 2
y

We are going to graph y = x 2

x -2 -1 0 1 2
y

2
November 30, 2017

Launch the Desmos app


Graph the following equations:
y=x Linear

y = x2 Quadratic

What do you see?

3
November 30, 2017

VERTEX - the point at which the graph


changes direction

Compare:
x -1 0 1
y = x2 y

y = x2 + 2 x -1 0 1
y

What will my second graph look like?

4
November 30, 2017

Graph the following:


y = x2
Where is your vertex?

y = x2 + 2
1
Where is your vertex?

5
November 30, 2017

Tell me in your own words what the graph will look like:

2
y=x -3

2
y= x +9

2
y=-x

6
November 30, 2017

a second degree, nonlinear equation written in


standard form. The graph is called a parabola..

NOTE:
The domain, if not specified, is assumed to be the set of all REAL Numbers.

7
November 30, 2017

Describe the transformation


2
Graph y = 2x

2
Graph y = 1x
2

Graph y= -x2 +3

2
Graph y= (x - 2) - 4

8
November 30, 2017

Graph the following:


y = (x + 4)(x - 2)

Where does the graph cross the x-axis?

9
November 30, 2017

y = (x + 4)(x - 2)

Now FOIL (binomial multiplication).


What does the equation become?

Analyze the vertex and the y - intercept.

10
November 30, 2017

What quadratic
function would fit
this graph to left?

11

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