Please help with precal. please help with questions 1-21 and every part of the question.

1. The point (-3, 1) lies on the circle whose center is at (-1,6). Write the standard form of the equation of this circle. 2. Find the domain for the following functions: x 4 -5x a) d) Vx+8 b) x2+x 30 C) T x2 +25 X - 3 3. Find the quotient and the remainder for (x4 + 8x2 - 4x - 2 ) . (x + 1). Use long division.H 4. Sketch the graph of f(x)- x2 - 7x + 12 using the Vertex and the X-intercept. Identify the axis of symmetry. 5. Find all the "zeros" of the function f(x)-x3 - 2 x2 + 4x - 8 if you know x-2 is a root of f. Use synthetic division.6. Given the function f(x)-x2. a) Find the function g(x) performing on f(x) a reflection in the X-axis followed by a upward shift of three units; H b) Find the function h(x) performing on f(x) and horizontal shift of four units to the rightfollowed by a reflection in the X-axis. 7. Given f(x) = x -7 and g(x)-3 - x2, find: a) (f - g)(x) c) g(f(x))8. Sketch the graph of the function f(x)- 3x-1 using the intersections with the axes and the asymptotes (if any). State its domain. H 9. Rewrite with rational exponents: 17x728 10. Write without the radical: V Vd FOOL\f\f19. Multiply the rational expressions: x 5 x- 2 x+1 x2-9r+20 20. Combine the rational expressions: x 3 x-1 x+1 21. For the function f(x)-8x - 1 apply the difference quotient (xth)-f(x) and simplify your