CCSS.Math.Content.HSF.BF.B.3

Compare the function y = 5x² to the parent function y = x²

• Wider
• Narrower

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CCSS.Math.Content.HSF.BF.B.3

What does C do in the function
A sin B(x – C) + D
?

• Changes the amplitude
• Changes the period
• Changes the vertical position of the 'waves'
• Changes the horizontal position of the 'waves'

Tags

CCSS.Math.Content.HSF.BF.B.3

The graph of m(x) = x² was transformed to create the graph of n(x) = x² + 21.  Which of these describes the transformation?

• A vertical shift down 21 units.
• A vertical shift up 21 units.
• A horizontal shift to the right 21 units.
• A horizontal shift to the left 21 units.

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CCSS.Math.Content.HSF.BF.B.3

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Tags

CCSS.Math.Content.HSF.BF.B.3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Tags

CCSS.Math.Content.HSF.BF.B.3

What does a negative A value cause?

• A negative amplitude
• A reflection across the Y axis
• No effect
• A reflection across X axis

Tags

CCSS.Math.Content.HSF.BF.B.3

The parent function, absolute value, is translated horizontally to the right by seventy units.

• g(x) = 70|x|

• g(x) = |x|-70

• g(x) = |x+70|

• g(x) = |x-70|

Tags

CCSS.Math.Content.HSF.BF.B.3

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

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CCSS.Math.Content.HSF.BF.B.3

What is the vertical shift?

•  $2$ 

•  $4$ 

•  $-2$ 

•  $-6$ 

Tags

CCSS.Math.Content.HSF.BF.B.3

 If g(x) is a transformation of f(x), describe the transformation.

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

 $f\left(x\right)=\left(3\right)2^x$  

• Down 3 units

• Stretch vertically

• Horizontal reflection

• Vertical reflection

Tags

CCSS.Math.Content.HSF.BF.B.3