Graphing Quadratic Functions and Key Features

What is the standard form of a quadratic function?

• y = ax^3 + bx^2 + c

• y = ax^2 + bx + c

• y = ax + b

• y = a/x + b

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

• x = b/2a

• x = a/2b

• x = -b/2a

• x = -a/2b

What is the domain of any parabola?

• All positive numbers

• All negative numbers

• All real numbers

• All integers

If a parabola opens upwards, what can be said about its range?

• y is greater than or equal to the maximum value

• y is less than or equal to the minimum value

• y is greater than or equal to the minimum value

• y is less than or equal to the maximum value

What is the y-intercept of a parabola in standard form?

• The vertex

• The coefficient of x^2

• The constant term c

• The coefficient of x

What is the first step in graphing a quadratic function?

• Find the y-intercept

• Find the vertex

• Find the axis of symmetry

• Plot the points

In the example, what is the axis of symmetry for the equation x^2 - 4x + 1?

• x = -1

• x = 1

• x = 2

• x = -2

What is the vertex of the parabola given by the equation x^2 - 4x + 1?

• (1, -3)

• (2, 3)

• (1, 3)

• (2, -3)

For the equation -x^2 - 3, what is the axis of symmetry?

• x = 1

• x = -1

• x = 3

• x = 0

What is the maximum value of the parabola given by the equation -2x^2 + 8x - 5?

• 5

• -5

• -3

• 3