1.2Intercepts,Symmetry,Graphing.notebook
Do Now
September 09, 2016
1. Solve for y.
2y + 3x ­5 = 4
2. Determine if the following points are on the graph of the equation 2x ­ y =6. a. (­1, 2)
b. ( 2, 3)
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
Section 1.2
Intercepts, Symmetry, Graphing Key Equations
Learning Target: I will be able to find intercepts
and test an equation for symmetry.
Finding x and y intercepts of
y = 12­ 4x
3
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
What are x­intercepts?
­ where the function crosses the x­axis
­ this mean y is equal to zero
What are y­intercepts?
­ where the function crosses the y­axis
­ this means x will be equal to zero
Example: Find the intercepts of 2x + 9y = 5.
x­int's: Plug in y=0.
y­int's: Plug in x=0.
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
Find the x and y intercepts of
y = x2 + 2x ­3
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
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1.2Intercepts,Symmetry,Graphing.notebook
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
Graphs with Symmetry
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
Do Now
LT: I will be able to explain why a function has a certain type of symmetry.
SC: I will be able to determine the symmetry of a function algebraically and graphically.
Find the x and y intercepts of the equation below.
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
Test Equation for Symmetry
Graph is symmetric with
Respect to x­axis if: (x,y)
Respect to y­axis if:
Respect to origin if:
(x,y)
(x, ­y)
(x,y)
(­x,y)
(­x,­y)
Two ways to think about this one
­ a reflection over y­axis, then another over x­axis ­ rotation of 180 degrees about the origin
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
Do Not write this down. This is on page 20 of your book.
Example: 11
1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
(a) Test for symmetry.
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1.2Intercepts,Symmetry,Graphing.notebook
September 09, 2016
(a) Test for symmetry.
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