Math 3 wk 2

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 convert a quadratic equation 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 discriminant of a quadratic equation?

Back

The discriminant is given by the formula D = b² - 4ac, where a, b, and c are coefficients of the quadratic equation ax² + bx + c = 0.

Front

What does a discriminant of 0 indicate about the roots of a quadratic equation?

Back

A discriminant of 0 indicates that the quadratic equation has exactly one real root (a repeated root).

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

A negative discriminant indicates that the quadratic equation has no real roots (the roots are complex).

Front

What are nth differences in a sequence of values?

Back

Nth differences are the differences between consecutive terms in a sequence, taken n times until a constant value is reached.

Front

If the first differences of a sequence are constant, what type of function does it represent?

Back

If the first differences are constant, the sequence represents a linear function.

Front

If the second differences of a sequence are constant, what type of function does it represent?

Back

If the second differences are constant, the sequence represents a quadratic function.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.