Describing Transformations of Function
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Anthony Clark
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9 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Write an absolute value function, g(x), given the following transformations from the parent function: Reflection across the x-axis Horizontal shift right 2 units Vertical shift down 7 units
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given the graph of f(x) below, write the equation of g(x) that is shifted down 6 and right 3.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given the graph of f(x) below, write the equation of g(x) that is shifted left 6 and up 5.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Imagine a theme park ride's path is modeled by the function h(x) = (x-2)^2 - 4, representing the height of the ride above ground level in meters, where x is the time in seconds since the ride started. How does this path compare to the standard path modeled by the function y = x^2?
The path of the ride compared to the standard path is a reflection over the time axis and a reflection over the height axis.
The path of the ride compared to the standard path is a horizontal shift of 2 seconds to the right and a vertical shift of 4 meters downward.
The path of the ride compared to the standard path is a vertical stretch by a factor of 2 and a horizontal compression by a factor of 4.
The path of the ride compared to the standard path is a vertical shift of 2 meters upward and a horizontal shift of 4 seconds to the left.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Imagine a roller coaster's path is described by the equation y = 2x^2 - 3. If the entire roller coaster is moved 5 units higher, what is the new equation describing its path?
y = 2x^2 - 8
y = 2x^2 + 5
y = 2x^2 - 3x
y = 2x^2 + 2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Imagine a roller coaster track designed based on the function f(x) = -2x^2, representing the steepness and curvature of the track. If the track design is mirrored over the ground level to create a new ride, what would be the equation of the new track?
f(x) = 2x^2
f(x) = -2x^2
f(x) = -2x
f(x) = x^2
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Imagine you're plotting the growth of a plant over time, and the growth can be modeled by the function f(x) = x^2. If you started measuring the growth 3 units of time later than originally planned, what would be the new equation modeling the plant's growth?
f(x) = (x-6)^2
f(x) = (x+3)^2
f(x) = (x-2)^2
f(x) = (x-3)^2
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