M II 5.1.2 Mid-Class CFU (2021)

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What do the coefficients A, B, and C represent in the quadratic function y = Ax^2 + Bx + C?

Back

A represents the coefficient of x^2, B represents the coefficient of x, and C represents the constant term.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if the coefficient A is positive (A > 0) and opens downwards if A is negative (A < 0).

Front

What is the vertex of a parabola in the context of a quadratic function?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the significance of the maximum point on a parabola?

Back

The maximum point on a parabola indicates the highest value of the function when the parabola opens downwards.

Front

What is the significance of the minimum point on a parabola?

Back

The minimum point on a parabola indicates the lowest value of the function when the parabola opens upwards.

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, given by the formula x = -B/(2A).

Front

How do you find the x-intercepts of a quadratic function?

Back

The x-intercepts can be found by setting the quadratic equation to zero and solving for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-B ± √(B^2 - 4AC)) / (2A), used to find the roots of a quadratic equation.

Front

What does the discriminant of a quadratic equation tell you?

Back

The discriminant (B^2 - 4AC) indicates the nature of the roots: if positive, there are two distinct real roots; if zero, there is one real root; if negative, there are no real roots.