math

if the equation given is y^2-6y=24x+3, how do i out this equation into standard form, using complete the square as needed?

  1. 👍
  2. 👎
  3. 👁
  1. why complete the square?

    24x+3 = y^2-6y
    24x = y^2-6y-3
    x = 1/24 y^2 - 1/4 y - 1/8

    That's standard form. To complete the square, you'd do

    y^2-6y = 24x+3
    y^2-6y+9 = 24x+3+9
    (y-3)^2 = 24x+12
    24x = (y-3)^2 - 12
    x = 1/24 (y-3)^2 - 1/2

    Looks like you need to review your text to get an idea of the mechanics involved.

    This is also unusual, in that the axis of the parabola is horizontal, rather than vertical.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra 2

    a quadratic equation can be written in vertex form or in standard form. sometimes one form is more beneficial than the other. identify which form would be more helpful if you needed to do each task listed below and explain why. a.

  2. algebra

    Recall that the standard form of a linear equation is Ax+By=C. Rewrite this equation in slope-intercept form

  3. Math

    The graph of a quadratic function has vertex(3,-4) and passes through the point (4,1). Find the equation of the function in standard form. Rewrite the equation in general form. Could someone explain to me how to do this, just

  4. math

    Match each polynomial in standard form to its equivalent factored form. Standard forms: 8x^3+1 2x^4+16x x^3+8 the equivalent equation that would match with it (x+2)(x2−2x+4) The polynomial cannot be factored over the integers

  1. math

    The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y plus 7 equals negative StartFraction 2 over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.. What is the standard

  2. Math

    The standard form of a linear equation is Ax + By=c. If b=0 and A and c are positive which best describes the graph of this equation?

  3. Math

    Write an equation in standard form for each parabola. Vertex (0, 0) and directrix y = 6. y = -1/24x^2?

  4. algerba

    What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has? What are the solutions to the quadratic equation 4(x +

  1. Algebra

    Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t^2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of

  2. Math

    1. Find the slope of the line that passes through the points (-1, 2), (0, 5). 2. Suppose y varies directly with x, and y = 15 and x = 5. Write a direct variation equation that relates x and y. What is the value of y when x = 9? 3.

  3. Math

    1. Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form. 2. Write the equation in standard form using integers (no fractions or

  4. math

    (A)Write the equation in standard form and calculate its discriminant. (B)Solve the equation by using the quadratic formula. (C)After solving the equation, write it in factored form. 1/8x^2=x-5/2 Please help!!!!! :(

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