Vertex Form Quadratics

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

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

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

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

Back

The vertex can be found directly from the vertex form y = a(x-h)² + k as the point (h, k).

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

What is the maximum or minimum value of a parabola in vertex form?

Back

The maximum or minimum value of a parabola is the y-coordinate of the vertex (k). It is a maximum if a < 0 and a minimum if a > 0.

Front

How do you convert standard form to vertex form?

Back

To convert from standard form (y = ax² + bx + c) to vertex form, complete the square.

Front

What is the significance of the vertex in a parabola?

Back

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

Front

If a parabola opens downward, what can be said about its vertex?

Back

If a parabola opens downward, the vertex is the maximum point of the parabola.

Front

If a parabola opens upward, what can be said about its vertex?

Back

If a parabola opens upward, the vertex is the minimum point of the parabola.

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.