Standard Vertex And Intercept Form Worksheet
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1
2Accelerated Precalculus
Name: _____________________________
Chapter 2, Section 2.1, Quadratic functions
Standard, vertex, and intercept form
Forms of a quadratic function:
2
Standard form:
f x
( )
ax
bx c
2
Vertex form:
f x
( )
a x h
(
)
k
Intercept form:
f x
( )
a x p x q
(
)(
)
Working with intercept form:
2
Given
f x
( ) 4
x
8
x
12
1. Write
f x in intercept form.
( )
2. Find the x-intercepts.
3. Find the vertex. HINT: The x-coordinate of the vertex is halfway between (is the average of)
the x-intercepts
4. Find the y-intercept:
a. using the standard form of
f x .
( )
b. using the intercept form of
f x .
( )
5. Is the y-coordinate of the vertex the absolute minimum or maximum value of the function?
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