Algebra 2 SOL Review #2

Front

What is the increasing interval for the function f(x) = 3x² - 9?

Back

0 ≤ x ≤ ∞

Front

Solve the quadratic equation 3x² - 11x + 10 = 0.

Back

x = 1.7 or x = 2

Front

What is a factor of the polynomial 3x² - 11x + 10?

Back

(x - 1)(3x - 10) or similar factors.

Front

What is the end behavior of the function -(x² - 3) + 3 as x approaches infinity?

Back

-∞

Front

Solve by using the quadratic formula: 15x² + 22x = -8.

Back

x = -2/3, -4/5

Front

What is the vertex of the parabola represented by the function f(x) = 3x² - 9?

Back

(0, -9)

Front

What is the axis of symmetry for the function f(x) = 3x² - 9?

Back

x = 0

Front

How do you determine the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant tell you about a quadratic equation?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).