Exit Ticket: Identify and label key features of a Parabola.

Front

What is the vertex of a parabola?

Back

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

Front

What is the y-intercept of a parabola?

Back

The y-intercept is the point where the parabola crosses the y-axis. It can be found by setting x=0 in the equation of the parabola.

Front

What is the equation for the line of symmetry of a parabola?

Back

The line of symmetry is a vertical line that divides the parabola into two mirror-image halves. For a parabola in the form y = ax^2 + bx + c, the line of symmetry is given by x = -b/(2a).

Front

What does the term 'focus' refer to in a parabola?

Back

The focus is a fixed point located inside the parabola. It is used to define the parabola and is equidistant from any point on the parabola to the directrix.

Front

What is the directrix of a parabola?

Back

The directrix is a fixed line used in the definition of a parabola. It is located opposite the focus and is perpendicular to the axis of symmetry.

Front

How do you find the axis of symmetry for a parabola given its equation?

Back

For a parabola in standard form y = ax^2 + bx + c, the axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the standard form of a parabola's equation?

Back

The standard form of a parabola's equation is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

What is the significance of the 'a' value in the parabola's equation?

Back

The 'a' value determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

Front

What is the difference between a parabola that opens upwards and one that opens downwards?

Back

A parabola that opens upwards has a minimum point at the vertex, while one that opens downwards has a maximum point at the vertex.

Front

How can you determine the maximum or minimum value of a parabola?

Back

The maximum or minimum value of a parabola occurs at the vertex. For the equation y = ax^2 + bx + c, the vertex can be found using x = -b/(2a).