Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Page 37
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419-5 Solving Quadratic Equations by Using the Quadratic Formula
The solutions are 1.6 or 7.4.
2
65. 4x
= 20x − 25
SOLUTION:
Describe the transformations needed to obtain the graph of g(x) from the graph of f (x).
2
66. f (x) = 4x
2
g(x) = 2x
SOLUTION:
2
2
The graph of g(x) = ax
stretches or compresses the graph of f (x) = 4x
vertically. The change in a is
, and 0 <
2
2
< 1. If 0 <
< 1, the graph of f (x) = x
is compressed vertically. Therefore, the graph of y = 2x
is the graph of
2
y = 4x
vertically compressed.
2
67. f (x) = x
+ 5
2
g(x) = x
− 1
SOLUTION:
2
The graph of f (x) = x
+ c represents a vertical translation of the parent graph. The value of the change in c is –6,
2
2
and –6 < 0. If c < 0, the graph of f (x) = x
is translated
units down. Therefore, the graph of y = x
– 1 is a
2
translation of the graph of y = x
+5 shifted down 6 units.
2
68. f (x) = x
− 6
2
g(x) = x
+ 3
SOLUTION:
2
The graph of f (x) = x
+ c represents a vertical translation of the parent graph. The value of the change in c is 9, and
2
2
9 > 0. If c > 0, the graph of f (x) = x
is translated
units up. Therefore, the graph of y = x
+3 is a translation of
2
the graph of y = x
–6 shifted up 9 units.
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Page 37
Determine whether each graph shows a positive correlation , a negative correlation, or no correlation. If
there is a positive or negative correlation, describe its meaning in the situation.
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