12/5 Vertex Form of a Quadratic Equation Practice

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 find the vertex from the vertex form of a quadratic equation?

Back

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

Front

What does the 'a' in the vertex form of a quadratic equation 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

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

If a parabola opens upwards, what can be said about its vertex?

Back

The vertex is the minimum point of the parabola.

Front

If a parabola opens downwards, what can be said about its vertex?

Back

The vertex is the maximum point of the parabola.

Front

Given the equation y = 2(x - 1)² + 3, what is the vertex?

Back

The vertex is (1, 3).

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 determine if a parabola opens up or down from its equation?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.