Graphing Family of Functions

Which equation is shown?

• y = (x-2)²
• y = (x+2)²

Tags

CCSS.HSF-IF.C.7A

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

  . 
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

 If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

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

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

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x)=3x²
• B.  g(x)=1/3x²
• C.  g(x) = x² - 3
• D.  g(x) = (x-3)²

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

Name the parent function.

• linear
• quadratic
• cubic
• logarithmic

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

Which of the following represents the graph below?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D