Quadratics- 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

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

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?

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 do you determine the direction a parabola opens?

Back

The direction a parabola opens is determined by the sign of 'a' in the vertex form: positive 'a' opens up, negative 'a' opens down.

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

How can you convert standard form to vertex form?

Back

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

Front

What are the x-intercepts of a parabola?

Back

The x-intercepts are the points where the parabola crosses the x-axis, found by setting f(x) = 0.

Front

What is the y-intercept of a quadratic function?

Back

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

Front

What does it mean for a parabola to be symmetrical?

Back

A parabola is symmetrical about its axis of symmetry, meaning the left and right sides are mirror images of each other.