Extra Credit - Transformations

What kind of function is depicted above?

• Constant
• Linear
• Exponential
• Quadratic 

• y=x²
• y=x³
• y=[x]
• y=|x|

Tags

CCSS.HSF-IF.C.7A

• Square Root
• Cube Root
• Exponential
• Rational

Tags

CCSS.HSF-IF.C.7B

• Square Root
• Inverse Squared
• Absolute Value
• Cubic

Tags

CCSS.HSF-IF.C.7D

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

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

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 2 I + 4

• Left 2 up 4
• Right 2 up 4
• Left 2 down 4
• Right 2 down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSG.CO.A.2

f(x) = -2|x - 4| + 3

What effect does the a-value have on this graph?

• Reflected about the x-axis, Vertically Stretched by a factor of 2.

• Reflected about the x-axis, Vertically Compressed by a factor of 2.

• Reflected about the y-axis, shifted 3 units down.

• Reflected about the y-axis, shifted 3 units up.