Quadratic Functions in Vertex Form

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)² + k

Front

In the vertex form of a quadratic function, what do the variables h and k represent?

Back

The vertex of the parabola, where (h, k) is the vertex.

Front

How do you find the vertex of a quadratic function in vertex form?

Back

The vertex is found at the point (h, k).

Front

What is the axis of symmetry for a quadratic function in vertex form?

Back

The axis of symmetry is the vertical line x = h.

Front

What does the parameter 'a' in the vertex form of a quadratic function indicate?

Back

The value of 'a' indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

If a = 5 in the vertex form f(x) = 5(x - 4)² + 3, what is the direction of the parabola?

Back

The parabola opens upward.

Front

Given the function f(x) = -2(x + 4)² + 6, what is the vertex?

Back

The vertex is (-4, 6).

Front

For the function f(x) = 5(x - 3)² - 9, what is the axis of symmetry?

Back

The axis of symmetry is x = 3.

Front

How can you determine the value of 'k' in the vertex form of a quadratic function?

Back

The value of 'k' is the y-coordinate of the vertex.

Front

What happens to the graph of a quadratic function if 'a' is negative?

Back

The graph opens downward.