Quiz about Transformations of K

Question 1

What is the correct description of the transformation of this square root function?

$$f\left(x\right)=\sqrt[]{x-5}+2$$

Accepted Answer

Right 5 units

Up 2 units

Answer

Left 5 units

Up 2 units

Answer

Right 5 units

Down 2 units

Answer

Left 5 units

Down 2 units

Question 2

What is the correct description of the transformation of this square root function?

$$f\left(x\right)=\sqrt[]{x+3}-1$$

Accepted Answer

Left 3 units

Down 1 units

Answer

Left 3 units

Up 1 units

Answer

Right 3 units

Up 1 units

Answer

Right 3 units

Down 1 units

Question 3

What is the correct description of the transformation of this square root function?

$$f\left(x\right)=\sqrt[]{x-4}-3$$

Accepted Answer

Right 4 units

Down 3 units

Answer

Left 4 units

Up 3 units

Answer

Right 4 units

Up 3 units

Answer

Left 4 units

Down 3 units

Question 4

What is the correct description of the transformation of this square root function?

$$f\left(x\right)=\sqrt[]{x+7}+6$$

Accepted Answer

Left 7 units

Up 6 units

Answer

Right 7 units

Up 6 units

Answer

Right 7 units

Down 6 units

Answer

Left 7 units

Down 6 units

Question 5

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 6

Which equation matches the transformation of the square root function?

Accepted Answer

$$f\left(x\right)=\sqrt[]{x+4}+3$$

Answer

$$f\left(x\right)=\sqrt[]{x-3}+4$$

Answer

$$f\left(x\right)=\sqrt[]{x-4}+3$$

Answer

$$f\left(x\right)=\sqrt[]{x+3}-4$$

Question 7

Which equation matches the transformation of the square root function?

Accepted Answer

$$f\left(x\right)=\sqrt[]{x+4}-1$$

Answer

$$f\left(x\right)=\sqrt[]{x-4}-1$$

Answer

$$f\left(x\right)=\sqrt[]{x-1}+4$$

Answer

$$f\left(x\right)=\sqrt[]{x+1}-4$$

Question 8

Which equation matches the transformation of the square root function?

Accepted Answer

$$f\left(x\right)=\sqrt[]{x-6}-4$$

Answer

$$f\left(x\right)=\sqrt[]{x+4}+6$$

Answer

$$f\left(x\right)=\sqrt[]{x+6}-4$$

Answer

$$f\left(x\right)=\sqrt[]{x-4}+6$$

Question 9

Describe the transformation

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

Accepted Answer

3 Units Up

Answer

3 Units Down

Answer

3 Units Left

Answer

3 Units Right

Question 10

If the blue is f(x)=x^2,then the red must be

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 11

Blue is the original!

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 12

If the blue is f(x)=x^2,the red must be

Accepted Answer

g(x)=(x-3)²

Answer

g(x)=(x+3)²

Answer

g(x)=x2+3

Answer

g(x)=x2-2

Question 13

Choose the function that matches this description:
A parabola translated 4 units down and 3 units to the right

Accepted Answer

$$y=\left(x-3\right)^2-4$$

Answer

$$y=\left(x-3\right)^2+4$$

Answer

$$y=\left(x+3\right)^2+4$$

Answer

$$y=\left(x+3\right)^2-4$$

Question 14

Choose the function that matches this description:
A parabola translated 7 units up and 5 units to the left

Accepted Answer

$$y=\left(x+5\right)^2+7$$

Answer

$$y=\left(x-5\right)^2+7$$

Answer

$$y=\left(x-5\right)^2-7$$

Answer

$$y=\left(x+5\right)^2-7$$

Question 15

What happens to the graph if the value of k is a negative number?

Accepted Answer

shift down

Answer

shift left

Answer

shift right

Answer

shift up

Question 16

What happens to the graph if the value of k is a positive number?

Accepted Answer

shift up

Answer

shift left

Answer

shift right

Answer

shift down

Question 17

Describe this function:

$$y=x^2+4$$

Accepted Answer

A parabola translated 4 units upwards

Answer

A parabola translated 4 units downwards

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