Alg 2 Sem 1 Final Review

Front

What is the equation of the graph that represents a square root function shifted down by 2 units?

Back

y = √(x - 2)

Front

What is the solution to the equation n^2 - 2n - 3 = 0 by completing the square?

Back

{3, -1}

Front

How do you expand the expression (2x + 5)^4 using Pascal's Triangle?

Back

16x^4 + 160x^3 + 600x^2 + 1000x + 625

Front

What is the general form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the vertex of a parabola represent in the graph of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the formula for the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

Vertex = (-b/(2a), f(-b/(2a)))

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: 0 (one real root), positive (two real roots), negative (no real roots).

Front

What is the process of completing the square?

Back

Rearranging a quadratic equation to the form (x - p)^2 = q to find the roots.

Front

What is the relationship between the roots and the coefficients of a quadratic equation?

Back

For ax^2 + bx + c = 0, the sum of the roots is -b/a and the product is c/a.

Front

What is the standard form of a quadratic function?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.