Opener
y = 12x - 36
y =-1/5(x +15) + 8
13x - 21y = 134
y-int:
y-int:
x-int:
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y-int:
rate of change:
rate of change:
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1
Standard 5.2
(day 1)
Standard 5.2: Sketch a quick graph of
linear quadratic, and exponential functions
from equations given in various forms.
Given the equation of an
exponential, how do I find key points and
then use those key points to sketch the
graph of the exponential.
Essential Question:
2
How do we use what we know about lines to graph them?
y = 5/3x - 5
3
How do we use what we know about lines to graph them?
y = -2(x + 7) + 10
4
How do we use what we know about lines to graph them?
-4x - 5y = 40
5
Graphing Exponentials
What do you think would be important to know in order to
graph exponential functions?
6
7
What do these four graphs have in common?
y = 4x - 5
y = 6x - 5
y = 2x - 5
y = (1.34)x - 5
8
What do these four graphs have in common?
y = -3x + 5
y = -4x + 5
y = -7x + 5
y = -2.65x + 5
9
10
What do these four graphs have in common?
y = (1/2)x + 3
y = (8/9)x + 3
y = (.22)x + 3
y = (.654)x + 3
11
What do these four graphs have in common?
y = -(5/11)x - 2
y = -(.43)x - 2
y = -(1/9)x - 2
y = -(.72)x - 2
12
A summary of what we found.....
y = ax + b
If a > 1, then...
y = ax - b
If a < 1, then...
b is our horizontal asymptote and will be the graph's floor or ceiling.
a - in front of ax flips the graph
13
How do we use what we know about exponentials to graph them?
y = 3x - 8
14
How do we use what we know about exponentials to graph them?
y = (1/4)x - 2
15
How do we use what we know about exponentials to graph them?
y = -5x + 6
16
How do we use what we know about exponentials to graph them?
y = -(6/13)x + 9
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