Sinusoidal Function Transformation

Describe the transformation of the parent function y = sin θ to y = 3 sin θ − 2 (Hint: Identify the values of A & D) Remember : y = A sin B(θ − C) + D

• stretches vertically by a factor of 3, and up 2 units

• stretches horizontally by a factor of 3 and down 2 units

• stretches vertically by a factor of 3 and down 2 units

• stretches horizontally by a factor of 3 and up 2 units

Tags

CCSS.HSF-IF.C.7E

The function y = 2 sin θ transforms the parent function y = sin θ by _________________________

• stretching the graph vertically by a factor of 2

• translating the graph vertically up 2 units

Tags

CCSS.HSF-IF.C.7E

Tags

CCSS.HSF-IF.C.7E

Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx+c)+d?

• a

• b

• c

• d

Tags

CCSS.HSF-IF.C.7E

Write the equation for a sine function with a reflection over the x-axis, period of \pi, a phase shift of \frac{\pi}{2}, and a vertical shift of 4.

Tags

CCSS.HSF-IF.C.7E

What shift is happening in the function y=2sinx+4

• Right 4

• Left 4

• Down 4

• Up 4

Tags

CCSS.HSF-IF.C.7E

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Tags

CCSS.HSF-IF.C.7E

Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d?

• a

• b

• c

• d

Tags

CCSS.HSF-IF.C.7E

Which equation?

• y= sin(1/3x)

• y= (1/3)sinx

• y= 3sinx

• y= sin(3x)

Tags

CCSS.HSF-IF.C.7E

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Tags

CCSS.HSF-IF.C.7E