Quadratic Vertex Form Vertex, AoS, Max/Min

Front

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

Back

The vertex is the point (h, k) in the vertex form of a quadratic function, represented as y = a(x - h)^2 + k.

Front

What does the Axis of Symmetry (AoS) represent in a quadratic function?

Back

The Axis of Symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = h, where (h, k) is the vertex.

Front

How do you find the vertex from the vertex form of a quadratic equation?

Back

In the vertex form y = a(x - h)^2 + k, the vertex is (h, k).

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex. If 'a' is positive, the vertex is a minimum; if 'a' is negative, the vertex is a maximum.

Front

Given the equation y = 2(x - 3)^2 + 6, what is the Axis of Symmetry?

Back

The Axis of Symmetry is x = 3.

Front

For the quadratic function y = -1(x - 4)^2 - 1, what is the vertex?

Back

The vertex is (4, -1).

Front

What is the significance of the 'a' value in the vertex form of a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

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

Back

Check the sign of 'a' in the vertex form: if 'a' is positive, it has a minimum; if 'a' is negative, it has a maximum.

Front

What is the formula for the Axis of Symmetry in a quadratic function?

Back

The formula for the Axis of Symmetry is x = -b/(2a) for the standard form of a quadratic equation ax^2 + bx + c.

Front

What is the maximum value of the function y = -2(x + 1)^2 + 5?

Back

The maximum value is 5, which occurs at the vertex (-1, 5).