Understanding Quadratic Functions

What is the general form of a quadratic function?

• ax^3 + bx^2 + c

• ax^2 + bx + c

• ax^2 + bx

• ax + b

If the 'a' value in a quadratic function is negative, what is the direction of the parabola?

• It opens upwards

• It opens downwards

• It opens to the left

• It opens to the right

What is the vertex of a parabola called when it opens upwards?

• Minimum

• Symmetry

• Axis

• Maximum

How is the axis of symmetry of a quadratic function calculated?

• x = -b/2a

• x = b/2a

• x = a/2b

• x = -a/2b

In the first example, what is the axis of symmetry for the function y = 3x^2?

• x = 1

• x = 0

• x = 3

• x = -1

For the function y = -1/2x^2, what is the vertex point?

• (0, 0)

• (1, -1/2)

• (1, 0)

• (0, -1/2)

In the second example, what is the y-value when x = 2 for the function y = -1/2x^2?

• -1

• 0

• -2

• 1

For the function y = -x^2 + 2x + 1, what is the x-coordinate of the vertex?

• -1

• 2

• 1

• 0

In the final example, what is the axis of symmetry for the function y = 2x^2 - 16x + 33?

• x = 8

• x = 4

• x = 16

• x = 2

What is the y-coordinate of the vertex for the function y = 2x^2 - 16x + 33 when x = 4?

• 1

• 2

• 3

• 0