Quadratic Transformations Vertex Form

• -2

• -6

• 2

• 6

• 0

What do the a, h, and k valaues tell you about the parabola tranformation?

• - shift up or down

  - the y value of the vertex

• h

• - shift left or right

  - the x value of the vertex

• k

• Stretch or compressess the parabola. Can also reflect the parabola if it is negative

• a

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

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

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Write a quadratic function in vertex form with vertex (-4, 6) that opens up

• f(x) = -2(x - 4)² + 6

• f(x) = (x + 4)² + 6

• f(x) = -2(x + 4)^{2 + 6}

• f(x) = (x - 4)² + 6

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted 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