Characteristics of Parabola

Front

What is the axis of symmetry in a parabola?

Back

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

Front

How many roots can a parabola have?

Back

A parabola can have 0, 1, or 2 roots depending on its position relative to the x-axis.

Front

What does it mean if a parabola has a maximum vertex?

Back

A maximum vertex indicates that the parabola opens downwards, and the vertex represents the highest point on the graph.

Front

What does it mean if a parabola has a minimum vertex?

Back

A minimum vertex indicates that the parabola opens upwards, and the vertex represents the lowest point on the graph.

Front

Identify a root of the parabola: (-1,9), (0,-8), (-4,0), (0,0)

Back

The root of the parabola is (-4,0), where the graph intersects the x-axis.

Front

What is the vertex of the parabola given the options: (4,-4), (2,0), (0,2), (6,0)?

Back

The vertex of the parabola is (4,-4), which is the point where the parabola changes direction.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

The 'a' value determines the direction of the parabola's opening: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

How can you find the vertex of a parabola from its equation in standard form?

Back

The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting it back into the equation to find the y-coordinate.

Front

What is the significance of the y-intercept in a parabola?

Back

The y-intercept is the point where the parabola crosses the y-axis, found by setting x = 0 in the quadratic equation.