Algebra 2

Front

What is the vertex of a quadratic function in the form y = ax^2 + bx + c?

Back

The vertex can be found using the formula: x = -b/(2a). The y-coordinate can be found by substituting this x value back into the function.

Front

What does the 'a' value represent in the quadratic equation y = ax^2 + bx + c?

Back

The 'a' value determines the direction of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

How do you find the x-coordinate of the vertex for the quadratic equation y = ax^2 + bx + c?

Back

The x-coordinate of the vertex is found using the formula: x = -b/(2a).

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 quadratic function y = x^2 + 4x - 6, find the vertex.

Back

The vertex is (-2, -10).

Front

Given the quadratic function y = x^2 - 8x + 14, find the vertex.

Back

The vertex is (4, -2).

Front

Given the quadratic function f(x) = -x^2 - 4x + 12, find the vertex.

Back

The vertex is (-2, 16).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that passes through the vertex, given by the equation x = -b/(2a).

Front

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

Back

If 'a' is positive, the function has a minimum value; if 'a' is negative, it has a maximum value.