Transformation of a Quadratic Function

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

If the blue graph is
f(x) = x² 
then the red must be...

Mathematical Equivalence

ON

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)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

Tags

AI.9.7.C

• compress

• stretch

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)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

Write a verbal description describing the transformation for the graph of function h.

• Function h translates left 2 units

• Function h translates right 2 units

• Function h translates down 2 units

• Function h translates up 2 units

Which graph best represents a vertical stretch and is translated down 3 units.

• 
• 
• 
• 

The graph of function h translated ________  units