Exploring Characteristics of Quadratic Functions

What is the general form of a quadratic equation?

• f(x) = a + bx + cx^2

• f(x) = ax + b

• f(x) = ax^2 + bx + c

• f(x) = ax^3 + bx^2 + c

In the quadratic equation f(x) = ax^2 + bx + c, what does the 'c' represent?

• The axis of symmetry

• The x-intercept

• The y-intercept

• The slope

How do you find the axis of symmetry in a quadratic equation?

• x = -b/2a

• x = a/2b

• x = b/2a

• x = -b/a

If the B value in the quadratic equation is zero, what is the axis of symmetry?

• x = a

• x = 0

• x = -1

• x = 1

What is the first step in finding the maximum or minimum value of a quadratic function?

• Find the vertex

• Find the roots

• Find the y-intercept

• Find the axis of symmetry

How do you find the y-value of the maximum or minimum point?

• Plug the x-value of the axis of symmetry into the original equation

• Divide the B value by 2a

• Multiply the A value by the B value

• Find the square root of the C value

What is the vertex of the quadratic function f(x) = x^2 + 4x - 4?

• (-2, -8)

• (-4, -8)

• (-4, -2)

• (-2, -4)

In the equation f(x) = -4x^2 + 6x, what is the x-value of the vertex?

• 1/4

• 2/3

• 1/2

• 3/4

What is the y-value of the vertex for the equation f(x) = -4x^2 + 6x?

• 3/4

• 6/4

• 9/4

• 1/4

What is the vertex of the quadratic function f(x) = x^2 + 4x - 4?

• (-4, -2)

• (-2, -8)

• (-4, -8)

• (-2, -4)