Transformations Quiz

Which parent function matches the following graph?

• absolute value

• quadratic

• identity (basic linear)

• step-wise

Which parent function matches the following graph?

• identity (basic linear)

• quadratic

• square root

• absolute value

Which parent function matches the graph?

• f(x) = x
• f(x)= x²
• f(x) = |x|
• f(x) = ab^x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

In vertex form, y= a(x-h)²+k, what effect does the k have on the graph?

• Shifts vertically

• Shifts horizontally

• Dilates (stretches)

Which equation below is a quadratic function translated up 5 units?

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

Tags

CCSS.HSF.BF.B.3

Tell how the function transformed from y =x²
y = -2x²

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated down 4.
• f(x) has been translated up 4.

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

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph below?

• f(x) = - I x + 2 I 
• f(x) = - I x - 2 I 
• f(x) =  I x + 2 I 
• f(x) =  I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

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

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