Alg 2 Ch. 3 Quadratics Test Review

Front

What are the solutions to the equation x² + 2x - 8 = 0?

Back

x = -4 and x = 2

Front

What is the formula for the discriminant in a quadratic equation?

Back

b² - 4ac

Front

Calculate (5-2i) + (-7+8i).

Back

-2 + 6i

Front

Calculate (10+3i) - (2-9i).

Back

8 + 12i

Front

Solve the equation by completing the square: x² + 6x - 4 = 36.

Back

x = 4, -10

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from ax² + bx + c.

Front

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

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (two complex roots).

Front

What is the vertex form of a quadratic function?

Back

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