Transformations Quadratic Graphs

Which of the following graphs represents the quadratic function above?

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Tags

CCSS.HSF-IF.C.7A

Match the description to its equation.
Moves right 7

• A

• B

• C

• D

What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)² + 12

• up 5

• down 5

• left 5

• right 5

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

Tags

CCSS.HSF-IF.C.7A

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

How did we transform from the parent function?

• moved 2 to the right

• moved up 2

• moved 2 to the left

• moved down 2

Given f(x) = -x² , how did we transform from the parent function?

• Moved left

• Reflection over the x-axis

• Moved down

• got wider

Given f(x) = x² - 4 , how did we transform from the parent function?

• Shift left 4

• Shift up 4

• Shift right 4

• Shift down 4

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2