Quiz about Linear Transformations Translations

Question 1

What is the linear parent function?

Accepted Answer

f(x) = x

Answer

y = mx + b

Answer

f(x) = 2x

Answer

f(x)  = y

Question 2

How did the equation shift from the parent function? y=x+2

Accepted Answer

Shift up 2

Answer

Shift down 2

Answer

steeper

Answer

flipped

Question 3

How did the equation shift from the parent function? y=1/2x

Accepted Answer

Less steep

Answer

Steeper

Answer

shift up

Answer

shift down

Question 4

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

Accepted Answer

f(x) = x - 7

Answer

f(x) = 7x

Answer

f(x) = x + 7

Answer

f(x) = 7x - 7

Question 5

Given f(x) = 2x +3.  Translate the function down 2 and write the new rule.

Accepted Answer

g(x) = 2x +1

Answer

g(x) = 2x + 5

Answer

g(x)= x + 3

Answer

g(x) = 2x +3

Question 6

Chris has $100 in his savings account and he adds $20 a month to the account.
The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months.
What should he change in the function to reach this goal?

Accepted Answer

A) Change the amount he adds each month to $50.

Answer

B)Change the amount he adds each month to $40.

Answer

C)Change the y-intercept of the linear function to $20.

Answer

D)Change the y-intercept of the linear function to $50.

Question 7

Order the following equations from steeper to less steep.
1. y=5x
2. y=1/2x
3. y=3x
4. y=1/3 x

Accepted Answer

1, 3, 2, 4

Answer

2, 4, 3, 1

Answer

1, 2, 4, 3

Answer

2, 3, 4, 1

Question 8

Describe the transformation:
-f(x)

Accepted Answer

reflected over the x-axis

Answer

down 1

Answer

left 1

Answer

vertically stretched

Question 9

Which of the following shows the transformation of left 3, down 1?

Accepted Answer

f(x+3) - 1

Answer

f(x-3) - 1

Answer

f(x-1) - 3

Answer

f(x+1) + 3

Question 10

Which function shows a vertical stretch by a factor of 4 and up 3 units

Accepted Answer

4f(x) + 3

Answer

f(x + 4) + 3

Answer

3f(x) + 4

Answer

4f(x + 3)

Question 11

Describe the transformation of y = f(x) for the new function
y = f(- x)

Accepted Answer

The graph of y = f(x) was flipped horizontally across the y axis.

Answer

The graph of y = f(x) was flipped vertically across the x axis.

Answer

The graph of y = f(x) was shifted down.

Answer

The graph of y = f(x) was shifted up

Question 12

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-1)-5

Accepted Answer

f(x) has been translated to the right one and down five.

Answer

f(x) has been translated to the left one and down five.

Answer

f(x) has been translated to the left one and up five.

Answer

f(x) has been translated to the right one and up five.

Question 13

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)+6

Accepted Answer

f(x) has been translated to the right four and up six.

Answer

f(x) has been translated to the left four and down six.

Answer

f(x) has been translated to the right four and down six.

Answer

f(x) has been translated to the left four and up six.

Question 14

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

The graph of g is a vertical translation 2 units up of the graph of f

Answer

The graph of f is a horizontal translation two units left of g

Answer

The graph of g is a vertical stretch by a factor of 2 of the graph of f

Answer

The graph of g is a reflection of the graph of f

Question 15

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

The graph of g is a horizontal translation of the graph of f, 4 units left

Answer

The graph of g is a vertical translation 4 units up from the graph f

Answer

The graph of g is a horizontal translation of the graph of f, 4 units right

Answer

The graph of g is a vertical stretch of the graph of f, by a factor of 7

Question 16

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

Accepted Answer

f(x - 3)

Answer

f(x + 3)

Answer

f(x) + 3

Answer

f(x) - 3

Question 17

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

Accepted Answer

f(x + 2)

Answer

f(x) + 2

Answer

f(x - 2)

Answer

f(x) - 2

Question 18

The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:

Accepted Answer

-f(x)

Answer

f(-x)

Question 19

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

Accepted Answer

f(x - 4) + 3

Answer

f(x + 3) - 4

Answer

f(x + 4) + 3

Answer

f(x + 3) + 4

Question 20

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

Accepted Answer

The graph of y = f(x) was shifted down 5 units.

Answer

The graph of y = f(x) was shifted to the right 5 units.

Answer

The graph of y = f(x) was shifted to the left 5 units.

Answer

The graph of y = f(x) was shifted up 5 units.

Question 21

Is the relation a function? Why.

Accepted Answer

No, because the x-value 11 has two y-values pair with it.

Answer

Yes, because the x-value 11 has two y-values pair with it.

Answer

Yes, because each x-value has only one y-value paired with it.

Answer

No, because each x-value has only one y-value paired with it.

Question 22

How did the equation y = x - 3 to y = 1/2x - 3/2

Accepted Answer

vertical compression

Answer

vertical translation

Answer

vertical stretch

Answer

<p>reflection</p>

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