Barrelracing
  • Barrelracing
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6? a) -1/6x^2 +4/3x + 11/6 b) 1/6x^2 - 4/3x - 11/6 c) 3/50x^2 + 11/25x + 3/5 d) 2/50x^2 + 11/25 + 2/5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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freckles
  • freckles
|dw:1444325601632:dw| the vertex is halfway between the directrix and the focus
freckles
  • freckles
what number is midway between -3 and -6?
Barrelracing
  • Barrelracing
-4 and -5

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freckles
  • freckles
but what number is midway between -3 and -6? hence do you know how to find the average of -3 and -6?
Barrelracing
  • Barrelracing
oh no i dont
freckles
  • freckles
the average of two numbers is the sum of the numbers divided by 2
Barrelracing
  • Barrelracing
i got -1.5
freckles
  • freckles
-3+(-6)=-9 -9/2 equals -4.5 not -1.5
Barrelracing
  • Barrelracing
oh i did wrong sorry
freckles
  • freckles
-4.5 makes since because this number is halfway between -4 and -5
freckles
  • freckles
sense*
freckles
  • freckles
it is also the number halfway between -3 and -6
freckles
  • freckles
|dw:1444325972949:dw|
freckles
  • freckles
so our parabola looks like this roughly : |dw:1444326013448:dw|
freckles
  • freckles
anyways the equation is \[4p(y-k)=(x-h)^2 \\ \text{ where } (h,k) \text{ is the vertex } \\ \text{ and } p \text{ is the distance between the vertex and the focus } \\ \text{ we also have } p>0 \text{ here since the vertex is above the directrix } \\ \text{ if it was the other way around we would have } p<0\]
Barrelracing
  • Barrelracing
ok thank you i get it now

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