Prelude To Standard Form: Simplifying Worksheet Page 2
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1
22
( )
7.
Let
f x be the quadratic that has vertex
(
)
5.
Given the expression:
−
x
+
7
−
9
(
)
(
)
a.
Evaluate the expression at x = 1.
−
4,3
and contains the point
1, 1 − .
a.
Sketch a graph of the quadratic below.
Mark the vertex, the given point, and the
b.
Simplify the expression by following the
image of the given point over the axis of
order of operations.
symmetry.
10
8
6
4
2
-10 -8 -6 -4 -2
2
4
6
8
10
-2
-4
c.
Evaluate the expression you wrote in
-6
part (b) at x = 1. Is the value of the
simplified expression at x = 1 the same as
-8
the value of the original expression from
-10
part (a)? If not, find your error.
b.
Verbally describe the translation to the
toolkit squaring function needed to obtain
the new vertex.
1
Based on your description above, write the
2
(
)
6.
Given the expression:
x +
8
−
17
vertex form of the equation of all
2
quadratics with this vertex.
a.
Evaluate the expression at x = 1.
c.
Use the given non-vertex point and your
b.
Simplify the expression by following the
equation above to determine the
order of operations.
dilation/reflection factor needed to obtain
( )
the quadratic
f x .
d.
Check your equation above using your
grapher. Does it contain the stated points?
c.
Evaluate the expression you wrote in
part (b) at x = 1. Is the value of the
simplified expression at x = 1 the same as
e.
Determine the y-intercept of the quadratic.
the value of the original expression from
Show work.
part (a)? If not, find your error.
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