Parent function and Transformations

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

Name the parent function.

• quadratic
• cubic
• square root
• logarithmic

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

Which transformation flips a graph over a given line?

• translation

• reflection

• vertical stretch

• vertical shrink

Tags

CCSS.HSF.BF.B.3

Describe the transformation from dotted to solid.

• left 5, up 3

• left 3, up 5

• right 5, up 3

• right 3, up 5

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Identify the transformation from the graph of f(x)=x² to the graph g(x)= (x+5)² 

• shifted up five units
• shifted down five units
• shifted left 5 units
• shifted right 5 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = f(x) for the new function

y = 1/5f(x)

• The graph of y = f(x) shrunk horizontally by a factor of 1/5

• The graph of y = f(x) was stretched horizontally by a factor of 5

• The graph of y = f(x) was shrunk vertically by a factor of 1/5

• The graph of y = f(x) was stretched vertically by a factor of 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = f(x) for the new function
 y = f(- x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2
• x³ - 2
• (x + 2)³
• (x - 2)³

Tags

CCSS.HSF.BF.B.3

From the parent function $y=x^2$  , which answer shows the correct equation of the graph shown?

• $y=3\left(x-2\right)^2-1$

• $y=3\left(x+2\right)^2+1$

• $y=\frac{1}{3}\left(x-2\right)^2+1$

• $y=3\left(x-2\right)^2+1$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

Write a function g whose graph represents the indicated transformation of the graph of f.

 $f\left(x\right)=3\left|x+5\right|$  ; reflection in the x-axis

•  $g\left(x\right)=-3\left|x+5\right|$  

•  $g\left(x\right)=3\left|x-5\right|$  

•  $g\left(x\right)=-3\left|x-5\right|$  

•  $g\left(x\right)=3\left|x+5\right|$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7