Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by 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 y = a(x - h)² + k?

Back

The vertex is the point (h, k) in the equation.

Front

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

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (larger |a| means narrower, smaller |a| means wider).

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 do you determine the axis of symmetry from the vertex form y = a(x - h)² + k?

Back

The axis of symmetry is the line x = h.

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 upward or downward.

Front

Given the equation y = 3(x + 5)² - 4, what is the vertex?

Back

The vertex is (-5, -4).

Front

What is the maximum or minimum value of a parabola?

Back

The maximum value occurs at the vertex if the parabola opens downward, and the minimum value occurs at the vertex if it opens upward.

Front

Given the equation y = -(x - 4)² - 3, does this parabola have a maximum or minimum value?

Back

This parabola has a maximum value.

Front

What is the axis of symmetry for the equation y = ½(x - 4)² - 4?

Back

The axis of symmetry is x = 4.