Algebra 2 Mid Term Review

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.

6 - 12i

A function is a relation that assigns exactly one output for each input from its domain.

1

The vertex form of a quadratic function is y = a(x - h)² + k, where (h, k) is the vertex.

The 'a' value determines the direction and width of the parabola: if a > 0, the parabola opens upwards; if a < 0, it opens downwards.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = 2x + 3

A polynomial is a mathematical expression consisting of variables raised to whole number exponents and coefficients.

The degree is 3, which is the highest exponent of the variable.