Vertex Form

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

The 'a' value determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

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

Back

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

Back

A parabola is the graph of a quadratic function, which is U-shaped and can open upwards or downwards.

Front

What is the maximum or minimum value of a parabola?

Back

The maximum value occurs at the vertex if the parabola opens downwards; the minimum value occurs at the vertex if it opens upwards.

Front

How do you determine if a parabola has a maximum or minimum value?

Back

If 'a' in the vertex form is negative, the parabola has a maximum value; if 'a' is positive, it has a minimum value.

Front

What is the significance of the vertex in a quadratic function?

Back

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

Front

How can you convert standard form to vertex form?

Back

You can convert standard form (ax² + bx + c) to vertex form by completing the square.

Front

What is the y-intercept of a parabola?

Back

The y-intercept is the point where the parabola crosses the y-axis, found by evaluating f(0).