4-7 Transformations Of Quadratic Graphs Worksheet With Answers Page 16
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21values for these functions, so making a = 0 will have
It is about 8 buckets. The correct choice is B.
a different effect on each function. For f (x), when a
= 0, the graph will be a horizontal line, f (x) = k. For g
ANSWER:
4-7 Transformations of Quadratic Graphs
(x), when a = 0, the graph will be linear, but not
necessarily horizontal, g(x) = bx + c.
B
52. CCSS ARGUMENTS Explain how the graph of y
54. SAT/ACT The sum of the integers x and y is 495.
2
The units digit of x is 0. If x is divided by 10, the
= x
can be used to graph any quadratic function.
result is equal to y. What is the value of x?
Include a description of the effects produced by
F 40
2
changing a, h, and k in the equation y = a(x – h)
+
G 45
2
k, and a comparison of the graph of y = x
and the
H 245
2
graph of y = a(x – h)
+ k using values you choose
J
250
for a, h, and k.
K 450
SOLUTION:
SOLUTION:
All quadratic functions are transformations of the
2
parent graph y = x
. By identifying these
transformations when a quadratic function is written
2
in vertex form, you can redraw the graph of y = x
From equation 2, x = 10y. Substitute x = 10y in
with its vertex translated to (h, k), widened or
equation 1.
narrowed as determined by a, opening downward if
a is negative.
ANSWER:
All quadratic functions are transformations of the
2
parent graph y = x
. By identifying these
The correct choice is K.
transformations when a quadratic function is written
2
in vertex form, you can redraw the graph of y = x
ANSWER:
with its vertex translated to (h, k), widened or
K
narrowed as determined by a, opening downward if
a is negative.
55. What is the solution set of the inequality
?
53. Flowering bushes need a mixture of 70% soil and
30% vermiculite. About how many buckets of
A {x | 2.5 < x or x < –2}
vermiculite should you add to 20 buckets of soil?
B {x | x < 2.5}
A 6.0
C {x | x > –2}
B 8.0
D {x | –2 < x < 2.5}
C 14.0
SOLUTION:
D 24.0
SOLUTION:
Let x be the number of buckets of vermiculite.
It is about 8 buckets. The correct choice is B.
The correct choice is D.
ANSWER:
ANSWER:
D
B
56. SHORT RESPONSE At your store, you buy
54. SAT/ACT The sum of the integers x and y is 495.
wrenches for $30.00 a dozen and sell them for $3.50
The units digit of x is 0. If x is divided by 10, the
each. What is the percent markup for the wrenches?
result is equal to y. What is the value of x?
SOLUTION:
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Page 16
F 40
The selling price of 1 dozen wrenches is:
G 45
H 245
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