Quadratic Functions and Equations Review

Front

What is a quadratic function?

Back

Front

What are the key characteristics of a quadratic function?

Back

The key characteristics include: 1) Parabola shape (opens upwards if a > 0, downwards if a < 0), 2) Vertex (the highest or lowest point), 3) Axis of symmetry (vertical line through the vertex), 4) x-intercepts (roots) and y-intercept.

Front

How do you find the vertex of a quadratic function?

Back

Front

What is the quadratic formula?

Back

Front

What does the discriminant of a quadratic equation tell us?

Back

Front

What is the standard form of a quadratic function?

Back

Front

How do you convert a quadratic function from standard form to vertex form?

Back

Front

What is the axis of symmetry for a quadratic function?

Back

Front

How do you determine the direction in which a parabola opens?

Back

The direction of the parabola is determined by the coefficient 'a' in the quadratic function: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What are the x-intercepts of a quadratic function?

Back