Graphing Quadratics in Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you identify the vertex from the vertex form of a quadratic equation?

Back

The vertex (h, k) can be identified directly from the vertex form f(x) = a(x - h)² + k.

Front

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

Back

The 'a' value indicates 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

What is the axis of symmetry in a quadratic function?

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 can you find the x-intercepts of a quadratic function in vertex form?

Back

To find the x-intercepts, set f(x) = 0 and solve for x.

Front

What is the significance of the maximum or minimum point of a parabola?

Back

The maximum or minimum point of a parabola is the vertex, which represents the highest or lowest point of the graph, depending on the direction of the parabola.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

What is the range of a quadratic function in vertex form when it opens upwards?

Back

The range is [k, ∞) where k is the y-coordinate of the vertex.

Front

What is the range of a quadratic function in vertex form when it opens downwards?

Back

The range is (-∞, k] where k is the y-coordinate of the vertex.

Front

How do you determine the y-coordinate of the vertex from the vertex form?

Back

The y-coordinate of the vertex is given by the value of k in the vertex form f(x) = a(x - h)² + k.