# Linear Transformations

Jacqueline Latzer

Created on November 28, 2023

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## Transcript

Escape from pixel CASTLE

Start

Fake doors

Maths Scrum

Dancing stones

Coins

Select MISSION

PIXElrolls

You're not ready yet You must overcome the previous mission in order to continue

You're not ready yet You must overcome the previous mission in order to continue

You're not ready yet You must overcome the previous mission in order to continue

Fake doors

Start

F(x)=x is graphed on a coordinate plane.The graph of a new line is formed by changing the slope to 1/2. How does this change the original graph?

Steeper

Less Steep

Shift up

1/3

Next

You picked the right door

Yeah!

1/3

The new line is reflected and steeper.

The new line is reflected and translatedup.

The y intercept of the new line is translated down.

F(x)=x is graphed on a coordinate plane.The graph of a new line is formed by changing the y intercept to -3. Which statement about the realtionship is true?

2/3

Next

You picked the right door

Yeah!

2/3

F(x) is graphed on a coordinate plane.The graph of a new line is formed by changing the slope to -1.How does this change the original graph?

Reflected

Flatter

Translated down 1

3/3

3/3

Good job!

You got one of the four King Pixel coins, three more will be enough to pay for your freedom.

Continue

FAILED

Ouch! What a header, dude.Keep trying.

Try again

FAILED

Ouch! What a header, dude.Keep trying.

Try again

FAILED

Ouch! What a header, dude.Keep trying.

Try again

Fake doors

Maths Scrum

Dancing stones

Coins

Select MISSION

PIXELrolls

You're not ready yet You must overcome the previous mission in order to continue

You're not ready yet You must overcome the previous mission in order to continue

If you go back to the beginning, you'll lose all progress and have to start all over again

Continue

Exit

Watch out!

MathsScrum

Jump on the right answer.

Start

A

B

C

D

F(x) is graphed on a coordinate plane. The graph of a new line is formed by changing the slope to 2 and y-interpcet to -6 so g(x)=2x-6. Which statement is true?

A. The new line is steeper and translated up.

B. The new line is less steep and translated up.

C. The new line is steeper and translated down.

D. The new line is less steep and translated down.

1/4

A

D

C

B

Next

You jumped on the right answer

Yeah!

1/4

A

The linear parent function is graphed.The slope is changed to 1/2 and y-intercept to 3 so h(x)=1/2x+3. How does the graph change?

A. Steeper and translated up

B

B. Less steep and translated up

C

C. Steeper and translated down

D

D. Less steep translated up

2/4

A

D

C

B

Next

You jumped on the right answer

Yeah!

2/4

The linear parent function is graphed.The slope is changed to 5 and y-intercept to -1 so h(x)=5x+-1. How does the graph change?

A. Steeper and shifted down

B. Steeper and relfected

C. Less steep and shifted down

D. Steeper and shifted up

3/4

A

B

C

D

Next

You jumped on the right answer

Yeah!

3/4

A

D

C

B

The linear parent function is graphed.The slope is changed to 2/5 and y-intercept to -2 so h(x)=2/5x-2. How does the graph change?

A. Less Steep and shifted up

B. Steeper and shifted down

C. Steeper and shifted up

D. Less steep and shifted down

4/4

A

B

C

D

A

D

4/4

C

B

Good job!

You got one more of the four King pixel coins, two more will be enough to pay for your freedom.

Continue

A

D

C

B

FAILED

Ouch! Looks like you made a mistake.

Try again

A

D

C

B

FAILED

Ouch! Looks like you made a mistake.

Try again

A

D

C

B

FAILED

Ouch! Looks like you made a mistake.

Try again

A

D

C

FAILED

Ouch! Looks like you made a mistake.

B

Try again

Fake doors

Maths Scrum

PIXELrolls

Dancing stones

Coins

Select MISSION

You're not ready yet You must overcome the previous mission in order to continue

PIXELrolls

Choose the correct answer to make it across safely.

Start

The linear parent f is graphed above. Which graph best represents -f(x)+3?

G

F

H

1/5

The linear parent function f is graphed.Which graph best represents h(x)=f(x)+3?

H

G

F

2/5

The linear parent function f is graphed. Which graph best represents h(x)=-f(x)-3?

F

H

G

3/5

The linear parent function f is graphed. Which graph best represents h(x)=3/5f(x)-3?

F

G

H

4/5

The linear parent function f(x)=x is graphed.Which graph best represents h(x)=5/3f(x)+5

F

G

H

5/5

5/5

Good job!

You got one more of the four King pixel coins, one more will be enough to pay for your freedom.

Continue

FAILED

Ouch! You look like you got soaked

Try again

Fake doors

Maths Scrum

Dancing stones

Coins

Select MISSION

PIXELrolls

Dancing stones

Jump across the stones to reach the other side safely.

Start

Choose the rock to jump on

Come on!

1/5

What is the linear parent function?

y=x

y=-x

y=mx+b

1/5

Choose the rock to jump on

Come on!

2/5

y=-x+10

The parent function is translated down 10 units. What is the new equation?

y=-10x

y=x-10

2/5

Choose the rock to jump on

Come on!

3/5

F(x)=x is steeper and reflected. Which equation best fits this?

g(x)=2x-4

g(x)=-1/2x

g(x)=-9x

3/5

Choose the rock to jump on

Come on!

4/5

F(x)=x+3 is changed to g(x)=-x+5. How are the graphs affected?

The new graph is reflected and up 2

The new graph is reflected and up 5

The new graph is reflected and up 3

4/5

Choose the rock to jump on

Come on!

5/5

Which is not a characteristic of the linear parent function y=x?

The y intercept is 0

The slope is 0

It goes through the orgin

5/5

5/5

Good job!

Looks like you got the 4 coins from the king of Pixel Castle, you have to talk to him to get released

Continue

FAILED

Ouch! You look like you got soaked

Try again

Fake doors

Maths Scrum

Dancing stones

Coins

use the coins

Select MISSION

PIXELrolls

Let's go!

You can still get to see the sunset on the lake

Yeah!

You've escaped and you're free!

Restart

Now you can enjoy the pleasant view of the lake at dusk