Math

Use the information provided to write the vertex form equation of each parabola.
a)y + 60x + 294 = -3x^2
b)−(y+1) = (x−4)^2

  1. 👍 0
  2. 👎 0
  3. 👁 133
asked by Kate
  1. a. y = -3x^2 -60x - 294.General or STD Form.

    h = -b/2a = 60 / -6 = -10.

    k = -3(-10)^2 - 60*-10 - 294 = 6.

    y = a(x-h)^2 + k,

    y = -3(x+10)^2 + 6. Vertex Form.

    b. -(y+1) = (x-4)^2,
    -y-1 = x^2 - 8x + 16,
    -y = x^2 - 8x + 17,
    y = -x^2 + 8x - 17,
    h = -b/2a = -8 / -2 = 4.

    k = -(4)^2 +8*4 - 17 = -1.

    y = -(x-4)^2 - 1.

    1. 👍 0
    2. 👎 0
    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    Can you please help me with the below question: The vertex of a parabola is located at (-12, -1). The parabola also passes through the point (-10, 5). Write the equation of this parabola in both vertex form and standard form.

    asked by Janae on March 4, 2017
  2. Math Help

    With the given information below, write the standard form equation for the parabola. 1.) Vertex: (-1,2) Focus(-1,0) 2.) Vertex: (-2,1) Directrix x=1

    asked by Katie on May 6, 2015
  3. algebra

    Suppose a parabola has vertex (-4,7) and also passes through the point (-3,8), write the equation of the parabola in vertex form.

    asked by Lilah on November 2, 2015
  4. algebra

    Suppose a parabola has a vertex (-4,7) and also passes through the point (-3,8) Write the equation of the parabola in vertex form. f(x)=a(x-h)^2+k I believe h=-4 k=7 Not sure what to do from here.

    asked by Lee on October 29, 2012
  5. Math

    Using the following information for the Vertex and Directrix, write the standard form equation for the parabola with what is given below. Vertex: (-2,1) Directrix: x=1

    asked by Gina on May 7, 2015
  6. Algebra 2

    Use the information provided to write the standard form equation of each parabola. 1) Opens left or right, and passes though (18, -5) (18, -13) and (6, -11) 2) Opens left of right, vertex: (10, -10), passes through (-26, -7)

    asked by Sara on January 7, 2010
  7. Alg II/Trig

    A parabola has a vertex at (0,0); a horizontal axis; and the point (12,6) is on the parabola. Write the equation of the parabola in standard form.

    asked by Sara on February 22, 2009
  8. 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.

    asked by wordss on October 20, 2016
  9. 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.

    asked by wefewfwefewf on December 9, 2019
  10. Algebra2

    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-

    asked by Steve on October 31, 2016

More Similar Questions