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Darcy Shioji

1. This document provides instructions for graphing quadratic functions in standard form, vertex form, and factored form. It explains the steps to identify key features like the vertex, x-intercepts, and direction of opening. 2. The steps include writing down known values, identifying what variables represent on the parent graph, plotting points, and connecting points to draw the parabola. 3. Worked examples are provided for each form to demonstrate how to apply the steps and achieve the final graphed quadratic function.

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108 views11 pages

Darcy Shioji

1. This document provides instructions for graphing quadratic functions in standard form, vertex form, and factored form. It explains the steps to identify key features like the vertex, x-intercepts, and direction of opening. 2. The steps include writing down known values, identifying what variables represent on the parent graph, plotting points, and connecting points to draw the parabola. 3. Worked examples are provided for each form to demonstrate how to apply the steps and achieve the final graphed quadratic function.

Uploaded by

api-453853908
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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Darcy Shioji April 2019

Graphing
Quadratic
Functions
Manual
2019 Graphing 02
Quadratic Functions

Tools You
Will Need:
A basic understanding of
quadratic functions (i.e.
the a & c values, vertex,
x-intercepts, etc.)
Knowledge of the parent
graph (Fig 1)
The standard form
formula
The vertex form formula
The intercept form
formula
Knowledge of how to plot
a point on a graph
A writing utensil
An open mind
Figure 1
Determination
2019 Graphing 03
Quadratic Functions

Standard
Form
To graph an equation given to you in
standard form...

1. Write down what you know (the a

Example
value & the c value).
2. Write what each variable represents
with respect to the parent graph.
3. Plot the vertex at (0,c).
4. Plot the first point on the left side of
the vertex by going one left from the
vertex and a units up.
5. Plot the second point on the left side
of the vertex by going two left from
the vertex and 4a units up.
6. Reflect the point to the right side of
the vertex.
7. Connect the points and draw the
parabola.
2019 Graphing 04
Quadratic Functions

Steps
Continued
2019 Graphing 05
Quadratic Functions

Final
Result
2019 Graphing 06
Quadratic Functions

Vertex
Form
To graph an equation given to you in
vertex form...

1. Write down what you know (the a value


& the vertex).
2. Write what each part represents with
respect to the parent graph.
3. Plot the vertex at (h,k).
4. Plot the first point on the left side of the
Example
vertex by going one left from the vertex
and a units up.
5. Plot the second point on the left side of
the vertex by going two left from the
vertex and 4a units up.
6. Reflect the point to the right side of the
vertex.
7. Connect the points and draw the
parabola.
2019 Graphing 07
Quadratic Functions

Steps
Continued
2019 Graphing 08
Quadratic Functions

Final
Result
2019 Graphing Quadrtic 09
Functions

Factored
Form
To graph an equation given to you in
factored form...

1. Write down what you know (the a value


& the x-intercepts).
2. Write what each part represents with
respect to the parent graph. Example
3. Convert to vertex form.
4-8. Follow steps 3-7 from graphing vertex
form.
2019 Graphing 10
Quadratic Functions

Steps
Continued
2019 Graphing 11
Quadratic Functions

Final
Result

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