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Example 1:
The path of a football at one particular kickoff can be modelled by the function where is the height of the ball above ground (yards) and is the horizontal distance from the kicking team's goal line (yards).
a) What are the intercepts? What do they mean in this context?
b) Why are there 2 intercepts?
c) Why is there no intercept labelled on this graph?
d) What horizontal distance does the ball travel before it hits the ground?
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Sect. 7.1 Solving Quadratic Equations by Graphing
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Example 2:
To solve a quadratic equation graphically, construct a table of values and sketch the graph:
x y
1
2
3
4
5
xintercepts:________________
The xintercepts are solutions to the equation
Verify the 2 solutions:
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Solve graphically.
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Example 3:Given the equation ,create a table of values and sketch the graph.
Step 1: Find the coordinates of the vertex:
Step 2: The parabola will be symmetrical at the vertex so place the vertex at the center of the table of values.
Step 3: Find two points on one side of the vertex.
Use SYMMETRY to get two other points!!
x y
a) What is the yintercept?
b) What are the xintercepts?
c) What is the y value when x is 1?
d) What are the x values when y is 8?
Review:
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Example 4:Given the equation , graph the equation and state the xintercepts.
x y
2
1
0
1
2
xintercepts:________________
How could you use your graph to solve the equation ?
x y
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Example 5:Given the equation , graph the equation and state the intercepts.
x y
xintercepts:________________
vertex:
True or False???
• Some quadratic equations have no intercepts.
• A quadratic equation will always cross the axis in two distinct places.
• The graph of intersects the axis twice.
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Attachments
PM117s1.gsp
pm7s1p8.tns
7s1e1 finalt.mp4
7s1e2 finalt.mp4
7s1e3 finalt.mp4
pm7s1p1.tns
pm7s1p2.tns
PM117s12.gsp
SMART Notebook
SMART Notebook
SMART Notebook
SMART Notebook
SMART Notebook
SMART Notebook
SMART Notebook
SMART Notebook
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