Major Assessment #1: Functions Overview
Authored by Kathy Binondo
Mathematics
12th Grade
Used 9+ times
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1.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Given the function f(x) = x2, which transformation would result in the graph of f(x) being shifted 3 units to the right?
f(x) = (x - 3)^2
f(x) = (x + 3)^2
f(x) = x^2 + 3
f(x) = x^2 - 3
2.
MATCH QUESTION
1 min • 4 pts
Match the parent function with its graph's description
y = x
A graph that starts at the origin and increases slowly
y = |x|
A straight line passing through the origin
A parabola opening upwards centered at the origin
y = x2
A v-shaped graph centered at the origin
3.
MATCH QUESTION
1 min • 4 pts
Match the parent function with its range
Nonlinear with a sharp turn at the origin
Nonlinear with an endpoint at the origin
Nonlinear with two ends pointing in opposite directions
Nonlinear with a minimum point
4.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
What is the effect of the transformation f(x) = -2 * g(x) on the graph of the function g(x)?
Vertical stretch by a factor of 2 and reflection in the x-axis
Vertical compression by a factor of 2 and reflection in the x-axis
Vertical stretch by a factor of 2 and reflection in the y-axis
Vertical compression by a factor of 2 and reflection in the y-axis
5.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
If h(x) = 1/4 * f(x), how is the graph of h(x) related to the graph of f(x)?
It is horizontally stretched by a factor of 4
It is horizontally compressed by a factor of 4
It is vertically stretched by a factor of 4
It is vertically compressed by a factor of 4
6.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
The function f(x) = (x - 2)2 + 5 is a transformation of the parent function g(x) = x2.
Describe the transformation.
Shifted 2 units to the right and 5 units up
Shifted 2 units to the left and 5 units up
Shifted 2 units to the right and 5 units down
Shifted 2 units to the left and 5 units down
7.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
What is the effect of the transformation f(x) = g(x + 4) - 1 on the graph of the function g(x)?
Shifted 4 units to the left and 1 unit up
Shifted 4 units to the right and 1 unit up
Shifted 4 units to the left and 1 unit down
Shifted 4 units to the right and 1 unit down
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