Quadratic Characteristics

Front

What is a parabola?

Back

A parabola is a symmetrical, U-shaped curve that represents the graph of a quadratic function.

Front

What does it mean for a parabola to open upward?

Back

A parabola opens upward if its vertex is the lowest point on the graph, indicating that the values of the function increase as you move away from the vertex.

Front

What does it mean for a parabola to open downward?

Back

A parabola opens downward if its vertex is the highest point on the graph, indicating that the values of the function decrease as you move away from the vertex.

Front

What is the vertex of a parabola?

Back

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

Front

What is the domain of a quadratic function?

Back

Front

What are the zeros of a quadratic function?

Back

The zeros (or roots) of a quadratic function are the x-values where the graph intersects the x-axis.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

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.