Functions (general)

Tags

CCSS.HSF.BF.B.3

f(x)=.25x²-3 is the original function. If the equation of g(x)=-.25(x-1)²-3 is the transformed function, which function notation represents the same transformations?

• -.25f(x-1)

• -.25f(x)²-3

• 5f(x)²+7

• f(x-1)

Tags

CCSS.HSF.BF.B.3

Which equation represents a parent function y = x³ translated 4 units to the right and 1 unit up?

• y = (x + 4)³ + 1
• y = (x - 4)³ + 1
• y = (x + 1)³ + 4
• y = (x - 1)³ + 4

Tags

CCSS.HSF.BF.B.3

How does the graph of y = -3^x compare to y = 3^x ?

• It is a vertical stretch.

• It is a vertical shrink.

• It is a reflection in the x-axis.

• It is a reflection in the y-axis.

Tags

CCSS.HSF.BF.B.3

What transformation is not present in the following equation?
y=3^x+3 -1

• horizontal shift to the left 3
• horizontal shift to the right 3
• vertical shift up 1
• All the above are present

Tags

CCSS.HSF.BF.B.3

Let f(t) = sin(t) and g(t) = sin(t) + 4. What transformation of f(t) results in g(t)?

• Vertical Translation

• Horizontal Translation

• Vertical Dilation

• Horizontal Dilation

Tags

CCSS.HSF.BF.B.3

Describe the following transformation on f(x):

f(x - 7)

• shifts 7 units right

• shifts 7 units left

• shifts 7 units down

• shifts 7 units up

Tags

CCSS.HSF.BF.B.3

What kind of shift is represented?

• shift left 1

• shift up 1

• shift right 1

• vertical stretch

Tags

CCSS.HSF.BF.B.3

Determine the transformation that occurred:

 $y=e^x\ \rightarrow\ y=e^{\left(x-4\right)}+1$  

• Horizontal shift left 4, Vertical shift down 1

• Horizontal shift right 4, Vertical shift down 1

• Horizontal shift left 4, Vertical shift up 1

• Horizontal shift right 4, Vertical shift up 1

Tags

CCSS.HSF.BF.B.3

• horizontal translation left 5

• horizontal translation right 5

• vertical translation up 5

• vertical translation down 5

Tags

CCSS.HSF.BF.B.3