anonymous
  • anonymous
how do you find the equation for a graph with x-intercepts of (2,0) and (-6,0) and a maximum point of (-2,4)
Mathematics
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anonymous
  • anonymous
how do you find the equation for a graph with x-intercepts of (2,0) and (-6,0) and a maximum point of (-2,4)
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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amistre64
  • amistre64
thats a quadratic
amistre64
  • amistre64
the most basic approach is to solve for 3 equations with variables of a b and c; using your x and y values as your quadratic constants
amistre64
  • amistre64
or...or factor in the roots

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amistre64
  • amistre64
(x-2)(x+6)
amistre64
  • amistre64
C(x^2 +4x -12) is the family of quadratics with these roots
amistre64
  • amistre64
if we complete the square and plug in for the vertex we got it solved
amistre64
  • amistre64
x^2 +4x +4 = 12+4 (x+2)^2 = 16
amistre64
  • amistre64
(-1/4)(x+2)^2 +4 = y might be it
amistre64
  • amistre64
lets check it out :)
amistre64
  • amistre64
-1/4(x^2 +4x-12) -x^2/4 -x +3 1/2(-1/4) = 1/(-2/4) = 1/(-1/2) = -2 x is good
amistre64
  • amistre64
-1/4(x^2 +4x -12) |x=-2 (-1/4)(4 -8 -12) = -16/-4 = 4 YES
amistre64
  • amistre64
now that I taught mysef something, any questions lol
anonymous
  • anonymous
no
amistre64
  • amistre64
:) good, cause I dont know if I can remember how I did it ;)

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