Parabolas Transformation

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

• Horizontal shift left 4

• Vertical shift up 4

• Horizontal shift right 4

• Vertical shift down 4

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

• Wider

• Narrower

• Wider and reflection over x-axis

• 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

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

Compared to the graph of y=x² , the graph of y=6x² is....

• narrower

• wider

Compared to y=x², the graph of y=(x-3)² is translated....

• up 3

• down 3

• left 3

• right 3

The graph of y=-3x² is....

• Reflected and narrower than y=x²

• Reflected and wider than y=x²

• Has a minimum turning point

• Has a maximum turning point

The graph of y=(x+2)² has an axis of symmetry with equation...

• x=-2

• x=2

• x=0

• y=2

• y=-2

The graph of y=(x-3)² is shifted to the right 4. What is the new rule?

• y=(x-7)²

• y=(x+1)²

• y=(x+7)²

• y=(x-3)²+4

• y=x²+4