Solving ProportionsAssignment problems.pdf   Problems on this attachmentRead the following instructions to complete this assignment: Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation, choosing an appropriate variable for the bear population. Complete problem 10 on page 444 of Elementary and Intermediate Algebra. Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example, and be concise in your reasoning. In the body of your essay, do the followingSet up the proportion for problem 56 on page 437. Demonstrate your solutions to problem 56 on page 437 and to problem 10 on page 444, making sure to include all mathematical work and an explanation for each step. Identify the form of equation you end up with in problem 10, and explain the relationship between the final coefficient of x compared to the original problem. Incorporate the following four math vocabulary words into your paper. Use bold font to emphasize the words in your writing. (Do not write definitions for the words; use them appropriately in sentences describing your math work.) Extraneous Proportion Cross multiply Extreme-means  MAT222.W1.AssignmentExample.pdf 

1.  Consider the parabola f(x) = 3(x-2)2– 1 andthe line g(x) = 9x -2.(i)  On graph paper sketch the line and the parabola.  Indicate clearly the vertex of the parabola, as well as x- or y-intercepts for either. Be sure to use exact (fractions and radicals) expressions.(ii)  Calculate exactly the two intersection points of the parabola and line, and label them on your sketch. Do this by completing the square.(iii)  Between the intersections, the line is above the curve.  Write an equation for h(x), the function giving the height of the line above the curve.  Simplify h(x) into ax2  + bx + c form for your final answer.(iv)  What is the DOMAIN of h(x)? Answer this one in a complete sentence.(v)  Ok, now complete the square to write your h(x) in the form A(x-_)2+B.(vi)  Use (v)to find the greatest distance between the line and curve.(vii)  Mark this distance with a BAR on your sketch, and label exactly, with coordinates, the top and bottom of the BAR.

1. Now consider the parent function P(x) = x2, and let g(x) = 4(x-1)2 + 8.(A) Explain step-by-step, graphing/labeling (on graph paper!) the parent, each intermediate function, if we do transformations in these two orders: (You will have to figure out the exact transformations in each case.)   (i)Horizontal shift then vertical stretch then vertical shift;  (ii)Horizontal shift then vertical shift then  vertical stretch.(B) (i) Explain how you can cut the domain of our g(x) so that at least part of it has an inverse function (I.e. passes the horizontal line test).  (ii) Now find the equation of the INVERSE function of our g(x).