Transformation practice

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

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

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

Name the parent function. 

• linear
• constant
• absolute value
• quadratic

Name the parent function. 

• constant
• square root
• linear
• absolute value

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

• g(x)= x²+3

• g(x)= (x+3)²

• g(x)= (x-3)²

• g(x) =(x-2)²

Which of the following functions reflects the graph f(x)=(x-1)² ?

• g(x)= - (x-1)²

• g(x)= (x+1)²

• g(x)= (-x-1)²

• g(x)= (x-1)²-1

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

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

Given the parent function f(x) = |x|, what is the new function if we shift the graph down 3 units?

• g(x) = |x| - 3

• g(x) = |x| + 3

• g(x) = |x - 3|

• g(x) = |x + 3|

Given the parent function f(x) = |x|, what is the new function if it is reflected over the x-axis?

• g(x) = |x|

• g(x) = -|x|

• g(x) = 1/2|x|

• g(x)= 5|x|