Parabola Features

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

Identify the y-intercept of a parabola.

Back

The y-intercept is the point where the parabola crosses the y-axis, represented as (0, y).

Front

What is the name of the point where the parabola crosses the y-axis?

Back

The point is called the y-intercept.

Front

What are the x-intercepts of a parabola?

Back

The x-intercepts are the points where the parabola crosses the x-axis, represented as (x, 0).

Front

How do you find the vertex of a parabola given its equation?

Back

The vertex can be found using the formula x = -b/(2a) for a quadratic equation in the form y = ax^2 + bx + c.

Front

What does the term 'axis of symmetry' refer to 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 standard form of a parabola's equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What does the coefficient 'a' indicate about the parabola's direction?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

How can you determine the direction of a parabola from its graph?

Back

If the arms of the parabola point upwards, it opens upwards; if they point downwards, it opens downwards.

Front

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

Back

The y-intercept indicates the value of the function when x = 0.