Quadratic Transformations Reflections

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 and up 4

• Reflected over x and down 4

• Reflected over x and right 4 

• Reflected over x and left 4

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

What is the vertex of this equation?

• (4, 6)

• (-4, -6)

• (-4, 6)

• (4, -6)

Write an equation of a quadratic that is translated down 2 units.

Which graph will have the farthest vertical shift away from the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

Based on this table of values of a quadratic function, what is the VERTEX?

• (-4, 0)

• cannot be determined

• (-1, -9)

• (0, -8)

• MINIMUM, because the value of "a" is positive.

• MAXIMUM, because "a" times "c" is -12.

• CANNOT BE DETERMINED

Describe the transformations from

f(x) = x²

to

g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down