Algebra 2 - Midterm Review

Front

The focus is a _____ that always lies _______ your parabola.

Back

point, inside

Front

Are these functions inverses? (Example: f(x) = 2x + 3, g(x) = (x - 3)/2)

Back

No

Front

What is the standard form of the polynomial: 7x - 125 - 6x^4 + 14x^2?

Back

-6x^4 + 14x^2 + 7x - 125

Front

Define absolute value.

Back

The distance of a number from zero.

Front

Which equation best represents the data of a water balloon dropped from a height? (Options: y = -16x^2 + 100, y = -2x^2 + x + 50)

Back

y = -16x^2 + 100

Front

What is the vertex form of a parabola?

Back

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

Front

What does the discriminant of a quadratic equation tell us?

Back

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

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.

Front

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

Back

Set y = 0 and solve the equation ax^2 + bx + c = 0.

Front

What is the difference between a function and its inverse?

Back

A function maps inputs to outputs, while its inverse maps outputs back to inputs.