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 determine if a quadratic function has a maximum or minimum value?

Back

A quadratic function has a maximum value if the coefficient 'a' is negative, and a minimum value if 'a' is positive.

Front

What is the vertex of the quadratic function y = -2(x + 1)² + 3?

Back

The vertex of the function is (-1, 3).

Front

What does the axis of symmetry represent in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, and it can be found using the formula x = h, where (h, k) is the vertex.

Front

How can you find the maximum or minimum value of a quadratic function in vertex form?

Back

The maximum or minimum value of a quadratic function in vertex form y = a(x-h)² + k is the value of k.

Front

What is the axis of symmetry for the quadratic function y = 3(x - 2)² + 1?

Back

The axis of symmetry is x = 2.

Front

For the quadratic function y = -x² + 4x - 3, what is the maximum value?

Back

The maximum value is 1, which occurs at the vertex (2, 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 affects the width of the parabola.

Front

How do you convert a quadratic function from standard form to vertex form?

Back

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

Front

What is the minimum value of the function y = 4(x - 1)² + 2?

Back

The minimum value is 2, which occurs at the vertex (1, 2).