Algebra 2 EOC Review

Front

What is the equation of the graph that has roots at x = 3 (multiplicity 2), x = -2 (multiplicity 2), and x = 1?

Back

f(x) = (x - 3)²(x + 2)²(x - 1)

Front

Factor completely: x² - 36

Back

(x + 6)(x - 6)

Front

What are the values of w, x, y, and z in the matrix subtraction if w = 13, x = 4, y = 11, z = 23?

Back

w = 13, x = 4, y = 11, z = 23

Front

Solve: |2x - 12| + 8 = 8

Back

x = 6

Front

What is the graph of x² + 4y² - 2y = 8?

Back

ellipse

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What is the discriminant of a quadratic equation and what does it indicate?

Back

The discriminant is b² - 4ac. It indicates the nature of the roots: if > 0, two real roots; = 0, one real root; < 0, no real roots.

Front

What is the process of completing the square?

Back

Completing the square involves rewriting a quadratic in the form ax² + bx + c into the form a(x - h)² + k.

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.