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Graph
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Great Job! You are almost done with completing this eLearning module! You have successfully found your intercepts, vertex, and table of values. Now all you need to do is graph the coordinates.
Let's look at an example of a quadratic equation:
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Let's say we are given the equation:
The first aspect we should notice is this equation is not in standard form.
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Let's put the equation on standard form:
Original Equation
Arithmetic Operation
Standard Equation
Distributive Property
Subtract 12x from both sides of the equation.
Now it is in:
Now that we have our equation in standard form let's identify our y-intercept.
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Y-Intercept
Standard Form
Identify "c" value
y-intercept
9
Now that we identified our y-intercept let's see if we can evaluate our x-intercept(s).
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X-Intercepts
Standard Form
a,b, and c value
Quadratic Formula
x-intercepts
a = 3
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b = -12
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c = 9
x=1
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x=3
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Now that we identified our y-intercept and our x-intercepts let's evaluate our vertex.
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Vertex
Standard Form
Max or Min
Vertex
Equation
a > 0
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Minimum
X-Value
Y-Value
x = 2
y = -3
We can see our vertex is at the point (2,-3).
Now that we identified and calculated our y-intercept, x-intercepts, and vertex let's create a table of values.
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Table of Values
X-Values
Y-Values
0
9
1
0
2
-3
X-Values
0
3
Missing Value
Missing Value
We can see that we are missing a value.
We can insert any value in for x that is larger then 3, let's try 4.
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Let's plug in 4 in for x to see how our table looks:
x = 4
y = 9
Now that we have 5 points we can plot them on our graph:
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X-Values
Y-Values
0
9
1
0
2
-3
0
3
4
9
The points (0,9), (1,0), (2,-3), (3,0), and (4,9) graphed on the coordinate grid below:
Now we just need to connect the points and we will have successfully graphed a parabola!
Now you have just successfully graphed a parabola!
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Below is a video on how to graph a parabola:
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Let's try an activity!
Below are two button to two different activities. One button will take you to a Desmos site, where you will need answer different questions on parabolas. The other is a different Wix site asking you various questions about parabolas.
*Once you finish the Desmos activity close out of the Desmos window
Class Code:
EGT4UK
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Now let's try one last assessment to graph a parabola:
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