Algebra 2 Semester 1 Practice Final

Front

What is the axis of symmetry for a parabola with vertex at (-3, 2)?

Back

The axis of symmetry is x = -3.

Front

Solve the inequality |x + 3| > 8.

Back

x < -11 or x > 5.

Front

Complete the square for the expression x^2 + 12x + ____.

Back

x^2 + 12x + 36.

Front

Identify the zeros of the polynomial (x + 2)(x + 6)(x - 4).

Back

The zeros are x = -2, x = -6, x = 4.

Front

Is (x - 3) a factor of the polynomial 3x^3 + 10x^2 - x - 12?

Back

No, it is not a factor.

Front

What is the vertex form of a parabola?

Back

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

Front

How do you find the vertex of a parabola given in standard form y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c.

Front

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

Back

The discriminant is b^2 - 4ac; it indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

How do you solve a quadratic equation by factoring?

Back

Set the equation to zero, factor the quadratic, and set each factor to zero to find the solutions.