Transformations, functions, and rate of change

Select the answer choice(s) that best represent the transformation of the function $f\left(x\right)=x^2-\frac{9}{7}$   from the parent function $f\left(x\right)=x^2$   

• Vertical Reflection 

• Vertical Translation

• Horizontal Translation

Tags

CCSS.HSF.BF.B.3

Select the answer choice(s) that best represent the transformation of the function $f\left(x\right)=-x^2$ from the parent function  $f\left(x\right)=x^2$  

• Vertical Reflection

• Vertical Translation

• Horizontal Translation

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Select the answer choice(s) that best represent the transformation of the function $f\left(x\right)=\left(x+3\right)^2$ from the parent function  $f\left(x\right)=x^2$  

• Vertical Reflection

• Vertical Translation

• Horizontal Translation

Tags

CCSS.HSF.BF.B.3

Select the answer choice(s) that best represent the transformation of the function $f\left(x\right)=\left(x+1\right)^2+13$ from the parent function  $f\left(x\right)=x^2$  

• Vertical Reflection

• Vertical Translation

• Horizontal Translation

Tags

CCSS.HSF.BF.B.3

The absolute value parent function is graphed. Which of the following statements is true based on the parent function?

• The graph representing the function $f\left(x\right)=\left|x+3\right|+5$ is the graph of the parent function translated 3 units to the right and 5 units downward.

• The graph representing the function $f\left(x\right)=\left|x+3\right|+5$ is the graph of the parent function translated 3 units to the right and 5 units upward.

• The graph representing the function $f\left(x\right)=\left|x-3\right|+5$ is the graph of the parent function translated 3 units to the right and 5 units upward.

• The graph representing the function $f\left(x\right)=\left|x-3\right|+5$ is the graph of the parent function translated 3 units to the left and 5 units upward.

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

The quadratic parent function is graphed. Which of the following statements is true based on the parent function?

• The graph representing the function  $f\left(x\right)=\left(x-2\right)^2+3$  is the graph of the parent function translated 2 units to the right and 3 units downward.

• The graph representing the function  $f\left(x\right)=\left(x+1\right)^2-2$  is the graph of the parent function translated 1 unit to the left and 2 units downward

• The graph representing the function  $f\left(x\right)=\left(x-3\right)^2-4$  is the graph of the parent function translated 3 units to the left and 4 units upward.

• The graph representing the function  $f\left(x\right)=\left(x+5\right)^2+1$  is the graph of the parent function translated 5 units to the right and 1 unit upward.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which transformation will shift the function graphed to the right 2 units?

•  $f\left(x+2\right)$  

•  $f\left(x\right)+2$  

•  $f\left(x-2\right)$  

•  $f\left(x\right)-2$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which correctly expresses the relationship between the two functions  $g\left(x\right)$  and  $h\left(x\right)$  

•  $h\left(x\right)=g\left(x\right)-2$  

•  $h\left(x\right)=g\left(x\right)+2$  

•  $g\left(x\right)=h\left(x\right)-2$  

•  $g\left(x\right)=h\left(x+2\right)$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The function $f\left(x\right)=\left(x-3\right)^2+4$  was translated into the new function  $g\left(x\right)=\left(x-3\right)^2+9$ Describe the translation.

• The graph of f(x) had a vertical translation of 5 units down

• The graph of f(x) had a vertical translation of 5 units up

• The graph of f(x) had a vertical translation of 2 units up

• The graph of f(x) had a vertical translation of 2 units down

Tags

CCSS.HSF.BF.B.3

 Evaluate the piecewise function for w(-1).

• -1

• 4

• 16

• Error

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2