# Algebra homework help

**A maximum of 5 or .25% bonus points will be awarded for 5 correct answers with step by step explanations.**

**Find the vertex of the parabola f(x) = x2 – 16x + 63.****Find the x- and y-intercepts of the cubic function f(x) = (x+4)(2x-1)(x-1).****If f(x) = x2-2x-24 and g(x) = x2-x-30, find (f-g)(x).****If f(x) = x+4 and g(x) = 2×2-x-1, evaluate the composition (g o f)(2).****If f(x) = x+4 and g(x) = 2×2-x-1, find the composition (f o g)(x).****Write the following sentence as an equation: y varies directly as x.****Write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.****What are the zeros of the parabola: f(x) = x2 – 7x + 10 (that is, what are the x-intercepts or the points where the graph crosses the x-axis)?****What is the****vertical****asymptote of the rational function f(x) = 3x / (2x – 1)?****What is the****horizontal****asymptote of the rational function f(x) = 3x / (2x – 1)?**