Vertex Form Quadratics

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by y = 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

In the vertex form y = a(x-h)² + k, the vertex is the point (h, 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' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a parabola given in vertex form?

Back

The axis of symmetry is the vertical line x = h, where (h, k) is the vertex.

Front

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

Back

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

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

Given the equation y = 2(x-3)² + 4, what is the vertex?

Back

The vertex is (3, 4).

Front

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

Back

The vertex is (2, 3).

Front

How do you determine if a parabola opens up or down?

Back

If 'a' in the vertex form y = a(x-h)² + k is positive, the parabola opens up; if 'a' is negative, it opens down.

Front

What is the vertex of the parabola y = 2(x-3)² + 4?

Back

The vertex is (3, 4).