Quadratic Transformation

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

How did we transform from f(x) =x²

to g(x) = -3x²

• reflection over x-axis and vertical shift down

• reflection over x-axis and wider

• reflection over x-axis and horizontal shift right

• reflection x-axis and narrower

How did we transform from the parent function to get

g(x) = (x - 1)²

• shift 1 unit left

• shift 1 unit right

• shift 1 unit up

• shift 1 unit down

If f(x)=x² how does g(x)=f(x) -10 compare?

• g(x) is 10 units below f(x)

• g(x) is 10 units above f(x)

• g(x) is 10 units left of f(x)

• g(x) is 10 units right of f(x)

Given f(x)=x², which equation would be wider than f(x)?

• g(x)=f(x-3)

• g(x)=f(x)+4

• g(x)=1/2f(x)

• g(x)=5f(x)

Is g(x) = 4(x)² wider or more narrow than the parent function?

• widen

• neither

• narrow

How would you change the parent function to create

h(x) = (x - 5)²

• shift the parent function 5 units down

• shift the parent function 5 units up

• shift the parent function 5 units to the left

• shift the parent function 5 units to the right

The blue graph is f(x)=x². Which of the following could be the equation of the red graph?

• g(x)=f(x)+2

• g(x)=f(x)-2

• g(x)=f(x+2)

• g(x)=f(x-2)

Which of the following equations is a reflection of the parent function?

• h(x)=3x²

• h(x)=1/3x²

• h(x)=-3x²

• h(x)=x²

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

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

Tags

CCSS.7.EE.A.2

CCSS.7.EE.B.4