Using Intercept Form Worksheets - Lesson 8.5
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108.5
Using Intercept Form
Essential Question
Essential Question
What are some of the characteristics of the
graph of f (x) = a(x − p)(x − q)?
Using Zeros to Write Functions
Work with a partner. Each graph represents a function of the form
f (x) = (x − p)(x − q) or f (x) = −(x − p)(x − q). Write the function
represented by each graph. Explain your reasoning.
4
a.
b.
4
−6
6
−6
6
−4
−4
c.
4
d.
4
−6
−6
6
6
−4
−4
4
e.
4
f.
−6
−6
6
6
−4
−4
g.
4
h.
4
−6
−6
6
6
CONSTRUCTING
VIABLE
−4
−4
ARGUMENTS
Communicate Your Answer
Communicate Your Answer
To be profi cient in math,
you need to justify your
What are some of the characteristics of the graph of f (x) = a(x − p)(x − q)?
2.
conclusions and
communicate them
Consider the graph of f (x) = a(x − p)(x − q).
3.
to others.
a. Does changing the sign of a change the x-intercepts? Does changing the sign
of a change the y-intercept? Explain your reasoning.
b. Does changing the value of p change the x-intercepts? Does changing the
value of p change the y-intercept? Explain your reasoning.
449
Section 8.5
Using Intercept Form
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