AnswersAISD Algebra I-B Credit Recovery 2026-2027Transformations of Quadratic Functions

Transformations of Functions Answers

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Which graph is an example of a cubic function?

A
On a coordinate plane, a parabola is shown.
Option A
B
On a coordinate plane, a curve approaches x = negative 2 in quadrant 3, increases to a put of inflection at (0, 1), and then increases again and approaches x = 2.
Option B
C
On a coordinate plane, a straight line has a positive slope.
Option C
D
On a coordinate plane, a function has a line with positive slope that intersects with a line with a negative slope.
Option D
2
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A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function transformed to create the graph of the function ?

Question illustration
I
It is a vertical stretch with a factor of 100 and a translation 5 units right.
I
It is a vertical stretch with a factor of 95.
I
It is a vertical stretch with a factor of 100 and a translation 5 units down.
I
It is a vertical stretch with a factor of 500.
3

Which of the following is the graph of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

How is the graph of the parent function of transformed to produce the graph ?

Question illustration
A
It is horizontally stretched by a factor of .
Option A
B
It is vertically stretched by a factor of .
Option B
C
It is translated left by unit.
Option C
D
It is translated right by unit.
Option D
5

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = StartAbsoluteValue one-fourth x EndAbsoluteValue
Option A
B
y = StartAbsoluteValue 2 x EndAbsoluteValue
Option B
C
y = StartAbsoluteValue 4 x EndAbsoluteValue
Option C
D
y = StartAbsoluteValue one-half x EndAbsoluteValue
Option D
6

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2
Option A
B
y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2
Option B
C
y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3
Option C
D
y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3
Option D
7

The function models the cost per student of a field trip when x students go on the trip. How is the parent function transformed to create the function ?

Question illustration
A
It is vertically stretched by a factor of 200.
B
It is vertically stretched by a factor of 200 and shifted 10 units left.
C
It is vertically stretched by a factor of 200 and shifted 10 units up.
D
It is vertically stretched by a factor of 200 and shifted 10 units right.
8

Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = 2 Superscript x Baseline 3
Option A
B
y = log (2 x) + 3
Option B
C
y = 2 x squared + 2
Option C
D
y = StartFraction 1 Over 2 x EndFraction + 2
Option D
9

Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

Question illustration
A
y = StartRoot x + 2 EndRoot
Option A
B
y = StartRoot x EndRoot + 2
Option B
C
y = StartRoot x EndRoot minus 2
Option C
D
y = StartRoot x minus 2 EndRoot
Option D
10

The graph of a quadratic function, , is reflected over the x-axis. Which of the following is the equation of the transformed graph?

Question illustration
A
y = negative x squared
Option A
B
y = (negative x) squared
Option B
C
y = StartRoot negative x EndRoot
Option C
D
y = negative StartRoot x EndRoot
Option D

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Transformations of Functions Answers — AISD…