Quadratic Transformations

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

Mathematical Equivalence

ON

• It is shifted 3 units to the left and 4 units down.

• It is shifted 3 units to the right and 4 units up.

• It is shifted 3 units to the left and 4 units up.

• It is shifted 3 units to the right and 4 units down.

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

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

• compress

• stretch

What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

• up 3

• down 3

• right 1

• left 1

• downward

• upward

Match the description to its equation.Moves right 7 (a)  

• A

• B

• C

• D