Determining sine and cosine transformations ( a and b only)

Choose how the graph of  $3\cdot\sin\left(x\right)$  changes from the basic $\sin\left(x\right)$  .  Use the desmos file to help. 

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $-3\cdot\sin\left(x\right)$  changes from the basic $\sin\left(x\right)$  .  Use the desmos file to help. 

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $.33\cdot\sin\left(2x\right)$  changes from the basic $\sin\left(x\right)$  .  Use the desmos file to help. 

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $-.33\cdot\cos\left(.5x\right)$  changes from the basic $\cos\left(x\right)$  .  Use the desmos file to help.  You will have to change sin to cos on line #1. 

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $\sin\left(5x\right)$  changes from the basic $\sin\left(x\right)$  .  Use the desmos file to help. 

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $-2\cdot\cos\left(x\right)$  changes from the basic $\cos\left(x\right)$  .  Use the desmos file to help. You will have to change sin to cos on line #1.

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $-\cos\left(.5\cdot x\right)$  changes from the basic $\cos\left(x\right)$  .  Use the desmos file to help. You will have to change sin to cos on line #1.

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $\cos\left(.5\cdot x\right)$  changes from the basic $\cos\left(x\right)$  .  Use the desmos file to help. You will have to change sin to cos on line #1.

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $.5\cdot\cos\left(x\right)$  changes from the basic $\cos\left(x\right)$  .  Use the desmos file to help. You will have to change sin to cos on line #1.

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

Choose how the graph of  $-\sin\left(x\right)$  changes from the basic $\sin\left(x\right)$  .  Use the desmos file to help. 

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E