Math 2 Quadratics Test

Front

What is the y-intercept?

Back

The y-intercept is the point where the graph of a function intersects the y-axis. For example, in the point (0, -4), -4 is the y-intercept.

Front

What is the equation for the axis of symmetry?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images. For example, x = -1 is the axis of symmetry for a parabola.

Front

How can you tell the direction of the opening of the graph of a parabola by looking at the equation?

Back

The value of 'a' in the quadratic equation y = ax^2 + bx + c determines the direction of the opening. If 'a' is positive, the parabola opens upward; if 'a' is negative, it opens downward.

Front

True or false: The solution, root, x-intercept, and zero are all the same thing.

Back

True. They all refer to the values of x where the graph intersects the x-axis.

Front

What are the x-intercepts (zeros)?

Back

The x-intercepts, or zeros, are the points where the graph intersects the x-axis. For example, (-2, 0) and (2, 0) are x-intercepts.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its direction. It can be found using the formula x = -b/(2a).

Front

What does the term 'discriminant' refer to in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b^2 - 4ac. It determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root, also known as a repeated root.