Quadratics- 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

How do you identify the vertex from the vertex form?

Back

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

Front

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

Back

The 'a' value indicates the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

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

How can you find the y-intercept of a quadratic function in vertex form?

Back

To find the y-intercept, set x = 0 in the vertex form equation and solve for f(0).

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 up or down.

Front

If f(x) = 4(x-2)² + 3, what is the vertex?

Back

The vertex is (2, 3).

Front

If f(x) = 2(x-3)² + 4, what is the vertex?

Back

The vertex is (3, 4).

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means that the vertex is the minimum point of the function.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means that the vertex is the maximum point of the function.