Quiz about Transformations Using Function Notation

Question 1

How do we represent a translation 2 units to the left using function notation?

Accepted Answer

$$f\left(x+2\right)$$

Answer

$$f\left(x\right)+2$$

Answer

$$f\left(x\right)-2$$

Answer

$$f\left(x-2\right)$$

Question 2

How do we represent a reflection across the x-axis in function notation?

Accepted Answer

$$-f\left(x\right)$$

Answer

$$f\left(x\right)$$

Answer

$$f\left(-x\right)$$

Answer

$$-f\left(-x\right)$$

Question 3

How do we represent a vertical stretching by scale factor 2 using function notation?

Accepted Answer

$$2f\left(x\right)$$

Answer

$$f\left(\frac{1}{2}x\right)$$

Answer

$$f\left(2x\right)$$

Answer

$$\frac{1}{2}f\left(x\right)$$

Question 4

Which transformation is shown here (from red to purple)?

Accepted Answer

Translation 2 units left

Answer

Translation 2 units right

Answer

Reflection across the x-axis

Answer

Reflection across the y-axis

Question 5

Which statement best describes how reflecting over the x-axis affects the x- and y-values?

Accepted Answer

The x-values stay the same while the y-values flip signs

Answer

The x-values flip signs while the y-values stay the same

Answer

Both the x-values and the y-values flip signs

Answer

Both the x-values and the y-values stay the same

Question 6

What would happen to the graph if we reflected it across the y-axis?

Accepted Answer

It would look the same

Answer

It would move to the right

Answer

It would turn upside down

Answer

It would get smaller

Question 7

Which statement best represents the transformation shown here (from red to purple)?

Accepted Answer

Vertical stretching

Answer

Vertical compression

Answer

Horizontal compression

Answer

Horizontal stretching

Question 8

How do the purple points' distances from the x-axis compare to their corresponding red points?

Accepted Answer

The purple points are 2 times farther from the x-axis

Answer

The purple points are 3 times farther from the x-axis

Answer

The purple points are 2 times closer to the x-axis

Answer

The purple points are 3 times closer to the x-axis

Question 9

How do we represent a horizontal compression by scale factor 3 using function notation?

Accepted Answer

$$f\left(3x\right)$$

Answer

$$f\left(\frac{1}{3}x\right)$$

Answer

$$\frac{1}{3}f\left(x\right)$$

Answer

$$3f\left(x\right)$$

Question 10

Which transformation is not part of the function notation below?

Accepted Answer

Translation 3 units down

Answer

Reflection across the x-axis

Answer

Vertical stretching by scale factor 2

Answer

Translation 3 units to the right

Question 11

Challenge: What transformations are represented by the function notation below?

Accepted Answer

Reflection over the y-axis and translation 3 units down

Answer

Reflection over the x-axis and translation 3 units down

Answer

Reflection over the x-axis and translation 3 units right

Answer

Reflection over the y-axis and translation 3 units right

Question 12

How do we represent a translation 3 units right and 1 unit up?

Accepted Answer

$$f\left(x-3\right)+1$$

Answer

$$f\left(x+3\right)+1$$

Answer

$$f\left(x+1\right)+3$$

Answer

$$f\left(x-1\right)+3$$

Transformations Using Function Notation

20 questions

How do we represent a translation 2 units to the left using function notation?

How do we represent a reflection across the x-axis in function notation?

How do we represent a vertical stretching by scale factor 2 using function notation?

Which transformation is shown here (from red to purple)?

The graph of g(x) is a
(a) translation (b) units (c) the graph.

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Rewrite g(x) in translation form g(x) = f(x) + k
(a) (b) (c)

Given the following, translate the graph seven left and two up!

The image shows a (a) translation (b) units (c)

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Transformations Using Function Notation

20 questions

How do we represent a translation 2 units to the left using function notation?

How do we represent a reflection across the x-axis in function notation?

How do we represent a vertical stretching by scale factor 2 using function notation?

Which transformation is shown here (from red to purple)?

The graph of g(x) is a (a) translation ​ (b) units ​ ​ (c) the graph.

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Rewrite g(x) in translation form g(x) = f(x) + k​ (a) ​ ​ (b) ​ (c) ​

Given the following, translate the graph seven left and two up!

The image shows a ​ (a) translation ​ (b) units ​ (c)

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The graph of g(x) is a
(a) translation (b) units (c) the graph.

Rewrite g(x) in translation form g(x) = f(x) + k
(a) (b) (c)

The image shows a (a) translation (b) units (c)