Graphing Parabolas in Vertex Form Practice

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the vertex from the vertex form equation?

Back

To find the vertex from the vertex form y = a(x - h)² + k, identify h and k. The vertex is (h, k).

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value indicates the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards. A larger absolute value of 'a' makes the parabola narrower.

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, given by the equation x = h.

Front

How do you determine if a parabola has a maximum or minimum value?

Back

If 'a' is positive, the parabola has a minimum value at the vertex. If 'a' is negative, it has a maximum value at the vertex.

Front

What is the y-intercept of a parabola in vertex form?

Back

The y-intercept can be found by substituting x = 0 into the vertex form equation and solving for y.

Front

How do you find the x-intercepts of a parabola?

Back

To find the x-intercepts, set y = 0 in the vertex form equation and solve for x.

Front

What is the significance of the vertex in a parabola?

Back

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

Front

What is the relationship between the vertex and the focus of a parabola?

Back

The vertex is the midpoint between the focus and the directrix of the parabola.

Front

How can you graph a parabola in vertex form?

Back

To graph a parabola in vertex form, plot the vertex, determine the direction of opening, find additional points by substituting x-values, and sketch the curve.