Graphing Quadratic Functions

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What shape does the graph of a quadratic function form?

Back

The graph of a quadratic function forms a parabola.

Front

What are the key features of a parabola?

Back

The key features of a parabola include the vertex, axis of symmetry, direction of opening (upward or downward), and intercepts.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upward or downward.

Front

What does it mean if a parabola opens upward?

Back

If a parabola opens upward, it has a minimum point at the vertex.

Front

What does it mean if a parabola opens downward?

Back

If a parabola opens downward, it has a maximum point at the vertex.

Front

How do you find the axis of symmetry of a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation in standard form.

Front

What is the range of a quadratic function that opens upward?

Back

The range is all real numbers greater than or equal to the y-coordinate of the vertex.

Front

What is the range of a quadratic function that opens downward?

Back

The range is all real numbers less than or equal to the y-coordinate of the vertex.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c.