Semester 1 Review/Extra Credit

Front

Subtract (4 - 3i) - (1 + 2i)

Back

3 - 5i

Front

Solve by completing the square: x^2 - 6x - 27 = 0

Back

x = {-3, 9}

Front

Solve by completing the square: y^2 + 10y = -9

Back

-1 and -9

Front

Find the solutions to the equation: 2x^2 + 23 = 5

Back

x = ±3i

Front

Describe the transformation: g(x) = (x - 3)^2

Back

Shift 3 units right

Front

Definition of complex numbers

Back

A complex number is of the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

Completing the square method

Back

A method used to solve quadratic equations by rewriting them in the form (x - p)^2 = q.

Front

Definition of imaginary unit i

Back

i is defined as the square root of -1, i.e., i = √(-1).

Front

Quadratic formula

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

Transformation of functions

Back

A transformation alters the graph of a function, including shifts, stretches, and reflections.