Parabola Key Features

Front

What are the x-intercept(s) of a parabola?

Back

The x-intercept(s) are the points where the parabola touches or intersects the x-axis.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the graph of the parabola.

Front

What does the ordered pair (2, -4) represent in the context of a parabola?

Back

It is the vertex of the graph.

Front

Define X-intercept.

Back

Where the parabola touches or intersects the x-axis.

Front

Define Axis Of Symmetry.

Back

A line that divides the graph into two equal parts, cutting the graph in half.

Front

What is the significance of the vertex in a parabola?

Back

The vertex indicates the maximum or minimum value of the quadratic function.

Front

How do you find the axis of symmetry for a parabola given by the equation y = ax^2 + bx + c?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the general form of a quadratic equation?

Back

The general form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in the quadratic equation indicate about the parabola?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the y-intercept of a parabola?

Back

The y-intercept is the point where the parabola touches or intersects the y-axis.