anonymous
  • anonymous
In which direction does the parabola open? y = –3x2 + 5x + 10 a. down b. up c. left d. right
Algebra
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@pooja195
Michele_Laino
  • Michele_Laino
hint: if we have the subsequent equation: \[\Large y = A{x^2} + Bx + C\] then we have the subsequent two cases: |dw:1432919493186:dw| or: |dw:1432919521156:dw|
Michele_Laino
  • Michele_Laino
first case when A >0 second case when A <0

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Michele_Laino
  • Michele_Laino
A is the corfficient of x^2
Michele_Laino
  • Michele_Laino
what is the coefficient A, of your equation?
anonymous
  • anonymous
coefficient?
Michele_Laino
  • Michele_Laino
A is the number which multiplies x^2
anonymous
  • anonymous
3?
Michele_Laino
  • Michele_Laino
for example, if we have \[\Large y = - 7{x^2} + 2x + 5\] then A =-7
anonymous
  • anonymous
okay, but what is a coefficient?
Michele_Laino
  • Michele_Laino
it is not 3, since in front of 3 there is a minus sign
anonymous
  • anonymous
I don't understand what a coeffiecient IS
Michele_Laino
  • Michele_Laino
it is -3
Michele_Laino
  • Michele_Laino
namely: A=-3
Michele_Laino
  • Michele_Laino
so what is your case, the first or the second one?
anonymous
  • anonymous
so it opens down? because A is less than 0?
Michele_Laino
  • Michele_Laino
that's right!
anonymous
  • anonymous
thank you!! I understand now!
amistre64
  • amistre64
a coefficient is simply the signed number of a term in the polynomial. \[P(x)=c_0+c_1x+c_2x^2+c_3x^3...\] the set of all the c's define the c.oefficients of the polynomial

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