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

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

Back

The 'a' value indicates 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?

Back

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

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 determine if a parabola opens up or down?

Back

If the 'a' value in the vertex form is positive, the parabola opens up; if 'a' is negative, it opens down.

Front

What is the vertex of the parabola represented by f(x) = 3(x+1)² - 5?

Back

The vertex is (-1, -5).

Front

What is the axis of symmetry for the function f(x) = 2(x-4)² + 1?

Back

The axis of symmetry is x = 4.

Front

How do you convert from standard form to vertex form?

Back

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

Front

What is the effect of changing the 'h' value in the vertex form?

Back

Changing the 'h' value shifts the parabola left or right along the x-axis.

Front

What is the effect of changing the 'k' value in the vertex form?

Back

Changing the 'k' value shifts the parabola up or down along the y-axis.