Algebra II Review of Systems & Polynomial Function Graphs

The standard form of the equation of a circle with center (h, k) and radius r is: $$(x - h)^2 + (y - k)^2 = r^2$$ .

For the equation $$(x - h)^2 + (y - k)^2 = r^2$$ , the center is (h, k) and the radius is r.

The equation is $$x^2 + y^2 = 16$$ .

The solution is (3, 2).

It means that as x increases without bound, the function's value also increases without bound.

The equation is $$(x - 5)^2 + (y + 2)^2 = 9$$ .

Center (-2, 1) and Radius = 5 units.

The solution is (2, 2).

A polynomial function is expressed as $$f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ , where a_n, a_{n-1}, ..., a_0 are constants and n is a non-negative integer.

The degree of a polynomial is the highest power of the variable in the polynomial.