Quadratic Functions Introduction

Which of the following is the general form of a quadratic equation?

• y=mx+b

• y=ax²+bx+c

• y=ab^x

In a quadratic equation, the value of a cannot be:

• Positive

• Negative

• Zero

• A fraction

The graph of a quadratic equation is called a:

• Line

• Circle

• Hyperbola

• Parabola

When the coefficient a is positive, the parabola opens:

• Downward

• Upward

• Sideways

• Flat

For the equation y=x², the vertex of the parabola is located at:

• (0, 0)

• (1, 1)

• (0, 1)

• (-1, 1)

The vertex of a parabola represents:

• The midpoint of the graph

• The point where the graph crosses the x-axis

• The highest or lowest point on the parabola

• The slope of the parabola

The imaginary vertical line that divides a parabola into two symmetrical halves is called the:

• Axis of rotation

• Axis of symmetry

• Center line

• Vertex line

When calculating second differences for y=x², what should you notice?

• They increase by one each time

• They are random

• They are constant

• They form a linear pattern

If the second differences of a relation are not constant, the relation is:

• Linear

• Quadratic

• Exponential

• Not quadratic

Which of the following best distinguishes a linear equation from a quadratic equation?

• Linear equations have a coefficient of 2

• Linear equations include an exponent of 2

• Quadratic equations include an exponent of 2

• Quadratic equations have no constants