anonymous
  • anonymous
can someone explain to me how to write the equation of the quadratic function only using the vertex and roots?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
the question on my homework says write the equation of the quadratic function with roots -9 and and -3 and a vertex at (-6, -1), please don't give me an answer but help me how to figure it out
ybarrap
  • ybarrap
You can start with the equation of a parabola: $$ y=(x-h)^2+k $$ Where, is the vertex.
anonymous
  • anonymous
y=(x--6)^2+-1?

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ybarrap
  • ybarrap
That's right, but these produce roots at -5 and -7, not at -3 and -9, so we have to shift our vertex to make these roots. Notice the difference between -5 and -3 and between -7 and -9?
ybarrap
  • ybarrap
The difference is -2. So, we need to shift the whole parabola left by 2 units.
anonymous
  • anonymous
so then after shifting the whole parabola what do i do?
ybarrap
  • ybarrap
The shifted parabola is our solution. Question I have for you is this. We can create two equations. One will have vertex at (-6,-1). We did that. Next, we can create a second equation with root at -3 and -9. Is the question asking you to come up with TWO equations?
anonymous
  • anonymous
only the first one ! thanks :)
ybarrap
  • ybarrap
Ok, so you just needed a quadratic with vertex at (-6,-1) then?
goformit100
  • goformit100
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