suppose a parabola has an axis of symmetry at x = -5, a maximum height of 9, and passes through the point (-7,1). write an equation of the parabola in vertex from. Y = -4(x-5)^2+9 Y = -7(x+9)^2 - 5 Y = -0.06(x-5)^2 + 9 Y = -2(x+5)^2 + 9 Help please

  • 1
  • 55 Views
  • All levels

suppose a parabola has an axis of symmetry at x = -5, a maximum height of 9, and passes through the point (-7,1). write an equation of the parabola in vertex from.

Y = -4(x-5)^2+9
Y = -7(x+9)^2 - 5
Y = -0.06(x-5)^2 + 9
Y = -2(x+5)^2 + 9

Help please...

Leave an answer

Our People Answers

1

(Based on todays review)

  • rejkjavik


    We are given

    a parabola has an axis of symmetry at x = -5, a maximum height of 9

    so, we get

    vertex =(-5,9)

    vertex=(h,k)=(-5,9)

    so, h=-5 and k=9

    we can use vertex form of parabola

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

    we can plug these value

    y=a(x+5)^2+9

    now, it passes through the point (-7,1)

    we can use it and then we can solve for a

    1=a(-7+5)^2+9

    4a+9=1

    4a=-8

    a=-2

    So, we will get equation of parabola as

    y=-2(x+5)^2+9..............Answer