Quantitative Reasoning ( College Freshman)
posted by Bonni .
For the quadratic function : y=0.25(x+8)(x6) write the function in the vertex form y=a(xh)^2+k by completing the square. Show all work.

first, expand the factored form:
y = 1/4 (x^2+2x48)
now regroup a bit to expose the perfect square:
= 1/4 (x^2+2x+1  47)
= 1/4 (x+1)^2 + 47/4 
An investment firm hired you to manage one of their new mutual funds. The fund invests in two main companies/stocks, Pittsburg Steel (X1) and IMB(X2). Pittsburg Steel is currently trading at $40.00 per share and IMB at $30.00 per share. Your goal is to maximize the return on investment (ROI) for the initial investment period. Recent market analysis indicates that both companies will be trading higher at the end of this investment period. The ROI for Pittsburg Steel is expected to be $10 per share and the ROI on the IMB stock is expected to be $15 per share. The firm gives you $60,000 as an initial investment to get your fund going but stipulates that at least 500 shares of each stock must be purchased. Additionally your initial research shows that IMB is a higher risk alternative and you decide that no more than onehalf of the total number of shares purchased should be invested in IMB.
Respond to this Question
Similar Questions

algebra
1)Find the exact solutions to 3x^2=5x1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^27x+9=0 answer=2 complex … 
Math
Express this function in vertex form by completing the square: 3x^2  4x + 1 PLEASE SHOW STEP BY STEP!!! 
calculus
Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions … 
math college algebra
write the quadratic function f(x)x^2+14x50 in the form f(x)=a(xh)^2+k by completing the square and graph 
calculus
I have two questions, please help. 1. Uss completing the square to describe the graph of the following function. Support your answers graphically. f(x)= 2x^2+4x+7 please show work. 2. Can someone help me to graph this function? 
College Algebra
The graph of a quadratic function f(x) is shown above. It has a vertex at (2,4) and passes the point (0,2). Find the quadratic function y=a(x(2))^2+4 y=a(x+2)+4 2=a(x+2)+4 4 4 2=a(0+2)/2 1+ a function 1(x+2)+4 ? 
College Algebra
A quadratic function has its vertex at the point (9,8). The function passes through the point (9,4). When written in vertex form, the function is f(x)= a(xh)^2 +k, where a) h)9 k)8 4=a(9)^2+8 4=a(9+9)^2+8 4=a(18)^2+8 4=a(332) a=0.01204 … 
Math
Solve the quadratic function y=2x^214x 16 by completing the square. Round roots to the nearest hundredth, if necessary. Show your work. 
Math
One number is 10 larger than another. Write a function in standard form to represent the sum of their squares. The minimum sum of squares is ___. So I said that the function is f(x)=x^2+x+10 and since the question comes from an assignment … 
Math
A quadratic function has a vertex of (3,6) and the point (1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance.