Semester 1 Final Exam: Algebra 2

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that returns the non-negative value of a number, defined as f(x) = |x|. It reflects all negative values of x to positive values.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you factor a quadratic trinomial of the form ax² + bx + c?

Back

To factor a quadratic trinomial, find two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.

Front

What is the process to find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y. The resulting equation is the inverse function.

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of one or more monomials, while a monomial is a single term that can be a constant, variable, or product of constants and variables.

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.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What is the factored form of the expression x² - 8x + 15?

Back

The factored form is (x - 5)(x - 3).

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

What is the formula for factoring a difference of squares?

Back

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