Section 1.1
GRAPHS OF EQUATIONS
List the graphs that you are
able to draw:
What properties
 Linear
functions
 Quadratic functions
 Rational functions
 Radical functions
 Cubic functions
 Exponential functions
do we know about
each of these
functions that
helps us recognize
them or graph
them???
*Brainstorm the ways we sketch graphs
Graph the following:
 1.)
y = 4 - 2x
y = x2 - 4
Review our methods of
graphing:
T
– chart
 Calculator
 Property recognition(formulas)
 Intercepts (x and y)/ finding zeros
What does it mean to be
symmetric?
 Symmetric
to the x axis: when (x, y) and (x, -y)
are on same graph
 Symmetric to the y axis: when (x, y) and (-x, y)
are on the same graph
 Symmetric to the origin: when (x, y) and (-x, -y)
are on the same graph
 GRAPHS
ON PAGE 5 IF YOU WOULD LIKE A
VISUAL REFERENCE
How do you test for symmetry?
 Symmetric
w/respect to the x axis when
replacing y with –y yields an equivalent
equation
 Symmetric w/respect to the y axis when
replacing x with –x yields an equivalent
equation
 Symmetric w/respect to the origin when
replacing x with –x and y with –y yields an
equivalent equation.
Let’s use symmetry to help us
graph… x – y2 = -4
 Symmetry
test…
Let’s try #’s 24, 26 on page 9
What does the graph of this
equation look like?
 (x
– h)2 + (y – k) 2 = r2
r
= radius
 (h, k) = center
 What
can you tell me about the equation:
x2 +
y2 = 4
Writing/Finding equations of
circles…
 1)
center (1, -2) and point on circle (-3, -4)
 2)
center (2, -4) and point on circle (6, 10)
 3)
# 64 on page 10
Homework:
Pg.
9 #’s 3, 6, 13, 15,
23, 27, 31, 35, 49, 57-69
odd, 73
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