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    Graphs and Functions

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    Writing an Equation of Parabola

    A. Write an equation for a parabola with a vertex at (0, -5). HINT: Assume the parabola is in the form ax^2 + bx + c = y. Need to solve for a b and c. b. Is there more than one parabola that has this vertex? c. What happens to your parabola if you change the constant term to 12? d. What happens if you doub

    Find the slope

    Find the slope intercept equation of the line that has the given characteristics. Slope 0 and y-tercept (0,8) Simplify the answer. Type in teh form y=mx + b

    Equation of a Line

    Find the slope intercept equation of the line that has the given characteristics. Slope -6 and y-intercept (0,7) The equation is y = Simplify the answer. Type the answer in slope-intercept form.

    Finding the equation of a line for the demand equation

    A market research company finds that at a price of p=$20,they would sell x=42 tiles each month. If they lower the prcie to p=$10,then more people would purchase the tile,and they can expect to sell x=52 tiles in a months time. Find the equation of the line for the demand equation. The equation needs to be in the form p=mx+b.

    Linear equations and inequalities..

    Background: You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company. The functions that describe how the company can break even will be represented with linear equations. Linear inequalities will be used to graph conditions where the

    Position graph

    See attached Shown are graphs of the position function of two runners, A and B, who run a 100-m race and finish in a tie. a) Describe and compare how the runners run the race. b) At what time is the distance between the runners the greatest? c) At what time do they have the same velocity?

    Solve an equation

    Solve: 5/8x + 1/16x = 3/16 + x The solution set of the equation is { } Simplify the answer.

    Quadratics: Graphing a Parabola

    Task: Please graph the following parabola: y=(1/5)x^2-2x+9 To graph the parabola, plot the vertex and four additional points, two on each side of the vertex.

    Solving a systems of equations problem

    1.Solve the system of equations by graphing. Then classify the system x +y=11 x - y=1 What is the solution of the system of equations? ____________________ (Type an ordered pair . Type N if there is no solution. Type R if the solution is all real number.) Is the system consistent or inconsistent? A.)___________inconsisten

    Discontinuous functions

    See circled problems on attachment Explain why each function is continuous or discontinuous. Explain why the function is discontinuous at a=1. Sketch the graph of the function

    Finding domain of a function

    State the domain of the following and provide a brief explanation for your answer f(x)= square( sorry can't make the symbol here) x +4 Also for m (x)= 3/x^+7 Is there any number for x that would make the denominator zero?

    Solving and Graphing Equations

    See attached 1. a. Solve b. Find the x-intercepts of 2. Determine the nature of the solutions of the equation 3. Find and label the vertex and the line of symmetry. Graph the function 4. The width of a rectangle is 3 ft less than the length. The area is 4 ft . Find the length and the width. 5. For the scatter

    Finding vertex and points of parabola

    Consider the function . a)Find h, the x-coordinate of the vertex of this parabola. b)Substitute the two integers immediately to the left and right of h into the function to find the corresponding y. Fill in the following table. Make sure your x-values are in increasing order in your table. x y h =__

    Parametric equation of line equation and equation of plane

    See attached for full description. For the points P(1, 2, 1), Q(-2, 3, 1), and R(3, 0, -3): 1) Find the parametric equation for the line segment PQ. 2) Find the equation of the plane through P, Q, and R 3) Find the parametric equation for the line R normal to this plane.

    Details: Your manager is very pleased with your presentations and being able to show your calculations in a detailed fashion. He has asked that you help him prepare for the upcoming company summit. Before you get together, he has asked that you give him a little review on polynomial functions and how you would apply them to everyday use. You have thought about the different methods in showing him the different methods used in calculating the functions and have drawn up an action plan. To exercise your skills, you are to perform the following using different tools available to you (e.g., Excel spreadsheet, graphing calculator, etc.) and write and explanation on your findings: The graph of: f(x)= 0 The graph of: f(x) = a0, where a0 ≠ 0 The graph of: f(x) = a0 + a1x ...

    Details: Your manager is very pleased with your presentations and being able to show your calculations in a detailed fashion. He has asked that you help him prepare for the upcoming company summit. Before you get together, he has asked that you give him a little review on polynomial functions and how you would apply them to ever

    Tree Diagram for the Knicks and Lakers Basketball Game

    The Knicks won the first game against the Lakers in a basketball playoff. If the first team to win four games is the winner, construct a tree diagram for this playoff. Hint: Some of the branches in the tree diagram will end sooner than the other , as one of the teams would have one four games.

    equation of the plane in 3 -D

    Find the equation of the plane which contains the points A(1, 1, 0) and B(1, 2, -1) and which does not intersect the line x = 1 + t, y = 2t, z = -1 + t.