Quadratic Vertex Form Vertex, AoS, Max/Min

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 of a quadratic function in vertex form?

Back

To find the vertex of a quadratic function in vertex form y = a(x-h)² + k, the vertex is 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 divides the parabola into two mirror-image halves. It can be found using the formula x = h, where (h, k) is the vertex.

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If the coefficient 'a' in the vertex form y = a(x-h)² + k is positive, the parabola opens upwards and has a minimum value. If 'a' is negative, the parabola opens downwards and has a maximum value.

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 whether it opens upwards or downwards.

Front

How can you convert a quadratic equation from standard form to vertex form?

Back

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

Front

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

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

What is the formula for finding the axis of symmetry from standard form?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form y = ax² + bx + c.

Front

How do you find the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value can be found by evaluating the function at the vertex (h, k) in the vertex form.

Front

What is the relationship between the vertex and the axis of symmetry?

Back

The vertex lies on the axis of symmetry, which is the line that passes through the vertex and divides the parabola into two equal halves.