Algebra 2 midterm review (Fall)

Front

What is the axis of symmetry for the quadratic function f(x) = ax^2 + bx + c?

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10.

Front

What are the roots or x-intercepts of a function?

Back

The roots or x-intercepts are the values of x where the function f(x) = 0.

Front

What is a function?

Back

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

Front

Solve the inequality: |x + 3| > 8

Back

x > 5 or x < -11.

Front

What is the vertex of a parabola?

Back

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

Front

How do you find the vertex of the quadratic function f(x) = ax^2 + bx + c?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, which can be expressed in the form f(x) = ax^2 + bx + c.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b^2 - 4ac and determines the nature of the roots.