Laplace Transform worksheets
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Q. Which transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
answer choices
a vertical translation 4 units up
a vertical translation 4 units down
a horizontal translation 4 units to the left
a horizontal translation 4 units to the right
Q. How did we transform from the quadratic parent function of y=x2 to
y = -3x2
y = -3x2
answer choices
reflection in x-axis and vertical shift down
reflection x-axis and vertical stretch
horizontal stretch
reflection x-axis and vertical compression
Q. Which of the following represents the quadratic parent function of y = x2 shifted right 7 units?
answer choices
A
B
C
D
Q. How did we transform from the parent function y = x2 to y = -1/5(x - 1)2 + 7 ?
answer choices
reflection, vertical compression, horizontal right, vertical up
vertical compression, horizontal shift left, vertical shift up
reflection, horizontal shift right, vertical shift down
no changes were made to y = x2
Q. How did we transform the quadratic parent function y=x2 to the quadratic function y = -3x2 ?
answer choices
reflection and horizontal compression
reflection and vertical stretch
horizontal stretch
reflection and vertical compression
Q. Which of the following describes the transformations done to the quadratic parent function of y = x2 to obtain y = 2x2 + 4 ?
answer choices
Vertical Stretched by 2 and translation up 4
Vertical Compressed by 2 and translation up 4
Horizontal Stretched by 2 and translation left 4
Horizontal Compressed by 2 and translation right 4
Q. If the quadratic function is f(x) = x2 what would the 5 do to f(x) if it transformed to g(x)=5(x+3)2-10?
answer choices
Vertical stretch by 5
Horizontal compress by 5
Reflect
Move up 5
Q. What transformations occurred to the quadratic parent function f(x) = x2 when transformed into g(x)=1/2(x+9)2-1?
answer choices
Reflect, horizontal compress by 1/2, left 9, down 1
Vertical compress by 1/2, left 9, down 1
Horizontal Compress by 1/2, right 9, down 1
Vertical Stretch by 1/2, left 9, down 1
Q. If the blue graph is
f(x) = x2
then the red must be...
f(x) = x2
then the red must be...
answer choices
g(x) = x2 - 5
g(x) = x2 + 5
g(x) = (x - 5)2
g(x) = (x + 5)2
Q. If the blue graph is
f(x) = x2
the red must be...
f(x) = x2
the red must be...
answer choices
g(x) = (x + 3)2
g(x) = (x - 3)2
g(x) = x2 + 3
g(x) = x2 - 2
Q. Which function has a translation of 2 units right and a vertical stretch by a factor of 5?
answer choices
f(x)= 5(x - 2)2
f(x) = 5(x + 2)2
f(x) = (x - 2)2 - 5
f(x) = (x + 2)2 + 5
Q. Which function has a translation of 7 units down and reflects over the x-axis?
answer choices
f(x) = -(x - 7)2 + 1
f(x) = (x + 7)2 + 1
f(x) = -(x - 1)2 - 7
f(x) = (x + 1)2 - 7
Q. What describes the effect on the graph of the equation y = 3x2 when it is changed to y = -¾x2?
answer choices
The graph is congruent and is translated down.
The graph is wider and opens downward.
The graph is congruent and is translated up.
The graph is narrower and opens downward.
Q. How will the graph of f(x) = 3x2 - 1 be affected if f(x) becomes g(x)=(x - 2)2?
answer choices
The vertex of the graph will move left 2 units.
The vertex of the graph will move up 2 units.
The vertex of the graph will move right 2 units.
The vertex of the graph will move down 2 units.
Q. Which quadratic is the narrowest graph?
answer choices
y = 3x2
y = 4x2
y = 2x2
Q. Which quadratic is wider than the graph of y = 4x2 + 5?
answer choices
y = 4x2 + 5
y = 5x2 + 5
y = 0.25x2 + 5
y = 0.75x2+5
Q. Which quadratic graph is the widest?
answer choices
y = 5x2
y = -¼x2
y = -½x2
y = 5x2
Q. How does y=.35x2 compare to y=x2?
answer choices
They are the same graph.
y=.35x2 is wider than y=x2.
y=.35x2 is more narrow than y=x2.
y=.35x2 is moved down from y=x2.
Q. Transformation:
Which equation would represent a parabola that is WIDER than the parent function, f(x) = x2?
Which equation would represent a parabola that is WIDER than the parent function, f(x) = x2?
answer choices
g(x) = x2 + 4
g(x) = 4x2
g(x) = x2 - 4
g(x) = 1/4x2
Q. Describe the transformations that occurred to the quadratic parent function y = x2 to obtain the graph of y = 3(x - 3)2 + 3
answer choices
Narrow, Right, Up
Narrow, Left, Down
Wide, Right, Up
Wide, Left, Down
Q. If the blue graph is
f(x) = x2
the red must be...
f(x) = x2
the red must be...
answer choices
g(x) = (x + 3)2
g(x) = (x - 3)2
g(x) = x2 + 3
g(x) = x2 - 2
Q. If the blue graph is
f(x) = x2
then the red must be...
f(x) = x2
then the red must be...
answer choices
g(x) = x2 - 5
g(x) = x2 + 5
g(x) = (x - 5)2
g(x) = (x + 5)2
Q. How would the following equation be different than y=x2?
y=(x-4)2
y=(x-4)2
answer choices
Left 4
Right 4
Up 4
Down 4
Q. How did we transform from the parent function y = x2 into the function
y = -1/5(x - 1)2 + 7 ?
y = -1/5(x - 1)2 + 7 ?
answer choices
reflection, vertical compression, horizontal right, vertical up
vertical compression, horizontal shift left, vertical shift up
reflection, horizontal shift right, vertical shift down
no changes were made to y = x2
Q. How did we transform from the parent function y = x2 into the quadratic function
y = -1/5(x - 1)2 + 7 ?
y = -1/5(x - 1)2 + 7 ?
answer choices
reflection, narrower,
shifted right,
up
shifted right,
up
vertical wider, shifted left, shifted up
reflection,
shifted right,
shifted down
shifted right,
shifted down
no changes were made
Q. Which of the following describes the transformations that occurred from y = x2 to obtain the graph of y = 2x2 + 4?
answer choices
narrower by 2 and translation up 4
wider by 2 and translation up 4
narrower by 2 and translation left 4
wider by 2 and translation right 4
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