Algebra II

Front

What is the general form of an absolute value function?

Back

The general form of an absolute value function is f(x) = |x - h| + k, where (h, k) is the vertex of the graph.

Front

How do you shift an absolute value function vertically and horizontally?

Back

To shift an absolute value function vertically, add or subtract a constant from the function. To shift it horizontally, add or subtract a constant from the variable inside the absolute value.

Front

What is the solution to the system of equations using elimination?

Back

To solve a system of equations using elimination, manipulate the equations to eliminate one variable, then solve for the remaining variable.

Front

Expand the expression (x + 2)³.

Back

The expansion of (x + 2)³ is x³ + 6x² + 12x + 8.

Front

What is the cube root of 27d¹²?

Back

The cube root of 27d¹² is 3d⁴.

Front

Define complex numbers.

Back

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

Front

What is the difference between pure imaginary numbers and complex numbers?

Back

Pure imaginary numbers are of the form bi (where a = 0), while complex numbers are of the form a + bi.

Front

What is the formula for the difference of squares?

Back

The formula for the difference of squares is a² - b² = (a - b)(a + b).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to ac and add to b in the expression ax² + bx + c.