Transformations and Parent Functions

Match the following:

• Square Root Parent

• 
• Linear Parent

• Rational Parent

• 

• Quadratic Parent

Tags

CCSS.HSF-IF.C.7B

• Vertical Stretch
• Horizontal Translation Right
• Vertical Translation Down
• Refection across the x-axis
• Reflection across the y-axis
• Vertical Translation Up
• Horitzontontal Translation Left
• Vertical Compression
• Horizontal Stretch

What is the equation of the parent function shown in the graph?

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

Given the general form to transform any function: a f [ b(x - h) ] + k, what does the a cause the function to do?

2 min video

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.

Tags

CCSS.MATH.CONTENT.HSF.BF.B.3

Tags

CCSS.HSF.BF.B.3

f(x) = 0.7√(x)

• Vertical stretch

• Vertical compression

• Vertical translation down

• Reflection over the x-axis

• No transformation

• square root

• absolute value

• linear

• quadratic

Tags

CCSS.HSF.BF.B.3

Which of the following represents horizontal stretches and compressions?

• f(x)+d
• f(x-c)
• f(bx)
• af(x)

Tags

CCSS.HSF.BF.B.3