Ellipse-Algebra

I need help with the following questions please.

Graph the ellipse.

((x-1)^2)/(9)+ ((y-2)^2)/(4)=1

(4(x+1)^2)+9(y-2)^2=36

  1. 👍
  2. 👎
  3. 👁
  1. Start by converting your equations to standard form. The first one is already in standard form. For the second one, you need to divide all terms by 36 so that the left-hand side equals one.

    Then, identify your center and foci. For more information on that, there is a very good website. (Unfortunately, I'm unable to post links.) It's called "Pauls Online Notes: Algebra - Ellipses." Typing that into Google should bring it right up.

    If you have any questions, just ask.

    1. 👍
    2. 👎
  2. You already have the equation in the form
    (x-x')^2/a^2 + (y-y')^2/b^2 = 1
    That form tells you all you need to know about what the ellipse looks like

    The center of the ellipse is at x=x'= 2. The major axis is along the y=y' ine and has a half-length of a=3 since the denominator under (x-1)^2 is 3^2). The minor axis is along the x=1 line and has a half-length of b=2 (from the 2^2 in the denominator under (y-2)^2.

    You should also try computing a few points yourself. Assume a value of x-1 between -3 and +3 (x between -2 and 4), and compute the corresponding value(s) of y to get points on the ellipse.

    1. 👍
    2. 👎
  3. Correction: The center of the ellipse is at (x',y') = (1,2)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc 3

    Show that the projection into the xy-plane of the curve of intersection of the parabolic cylinder z=1−2y^2 and the paraboloid z=x^2+y^2 is an ellipse. Find a vector-parametric equation r→1(t)=⟨x(t),y(t),z(t)⟩ for the

  2. Trig

    A railroad tunnel is shaped like semi-ellipse. The height of the tunnel at the center is 69 ft and the vertical clearance must be 23 ft at a point 16ft from the center. Find an equation for the ellipse.

  3. algebra

    Can someone check my answers on exploring conic sections? 1. Graph x2 + y2 = 9. What are its lines of symmetry? Every line through the center is a line of symmetry. The y-axis and the x-axis are lines of symmetry.( my choice)

  4. calculus

    answer the questions about the following function f(x)= 10x^2/x^4+25 a. is the point (-sqrt 5,1) on the graph b. if x=3, what is f(x)? what point is on the graph of f? c. if f(x)=1, what is x? what points are on the graph? d. what

  1. algebra

    file:///C:/Users/Pat/Downloads/IMG_0166.JPG Above is a graph of a polynomial function ƒ with real coefficients. Use graph to answer following questions about ƒ. All local extreme of ƒ are shown on graph. a. the function is

  2. Math

    Square ABCD has side length 60. An ellipse E is circumscribed about the square and there is a point P on the ellipse such that PC = PD =50. What is the area of E? I got to the part with the point (30, 30). Now what next?

  3. SCIENCE HELP PLEEAAASSEEE

    I have absolutely tried everything! i just need help please. here are the questions: Part II Graphing Directions: Using the data in the following table, construct a graph of distance vs. time. Then answer the questions about that

  4. Math-Precalculus-Parametric Equations - Ellipses

    The graph of the equation (x-h)^2/(a^2) + (y-k)^2/b^2 = 1 is an ellipse with center (h,k), horizontal axis length 2a, and vertical axis length 2b. Find parametric equations whose graph is an ellipse with center (h,k), horizontal

  1. Algebra

    Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph. I really need help with this one but I can't post the

  2. Math 170

    16x^2+16y^2+64x-32y+55=0 Identify the conic and find the center, radius(for circle), and a and b(for ellipse or hyperbola) sketch the graph

  3. Math

    I am terrible at ellipse The base of an auditorium is in the form of an ellipse 200ft long and 100 ft wide. A pin dropped near one focus can clearly be heard at the other focus. Determine the distance between the foci to the

  4. Calc

    Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots

You can view more similar questions or ask a new question.