Quadratic Transformation Rules

Given the transformation function of y=a(bx-c)²+d, what transformation takes place if b>1?

• Reflects across

• Reflects downward

• horizontal stretch

• horizontal compression

Given the transformation function of y=a(bx-c)²+d, what transformation takes place if c is positive?

• shifts left

• shifts up

• horizontal stretch

• horizontal compression

Given the transformation function of y=a(bx-c)²+d, what transformation takes place if c is negative?

• shifts left

• shifts right

• shifts up

• horizontal compression

Given the transformation function of y=a(bx-c)²+d, what transformation takes place if d is negative?

• shifts left

• shifts right

• shifts up

• shifts downward

Given the transformation function of y=a(bx-c)²+d, what transformation takes place if d is positive?

• shifts left

• shifts right

• shifts up

• shifts downward

How did we transform from the parent function?
y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

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

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression

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

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

In this equation y=4x², 4 is in what position?

• a

• b

• c

• d