Parabolas in Vertex Form

Front

What is the equation for the Axis of Symmetry in a parabola in vertex form?

Back

The Axis of Symmetry is given by the equation x = h, where (h, k) is the vertex of the parabola.

Front

What is the vertex of a parabola in vertex form?

Back

The vertex is the point (h, k) in the vertex form of the parabola, y = a(x - h)² + k.

Front

How do you identify the direction of a parabola?

Back

If 'a' in the vertex form y = a(x - h)² + k is positive, the parabola opens upwards. If 'a' is negative, it opens downwards.

Front

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

Back

The 'a' value affects the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower.

Front

What is the standard vertex form of a parabola?

Back

The standard vertex form of a parabola is y = a(x - h)² + k.

Front

How do you find the y-intercept of a parabola in vertex form?

Back

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

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 its direction.

Front

How can you determine if a parabola is a maximum or minimum?

Back

If the parabola opens upwards, the vertex is a minimum point. If it opens downwards, the vertex is a maximum point.

Front

What is the effect of changing the 'h' value in the vertex form?

Back

Changing 'h' shifts the parabola left or right along the x-axis.

Front

What is the effect of changing the 'k' value in the vertex form?

Back

Changing 'k' shifts the parabola up or down along the y-axis.