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The grid lines in the graph below are one unit apart.  The red parabola shown is the graph of the equation y = ax^2 + bx + c. Find (a,b,c). 

 

 Oct 30, 2020
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The grid lines in the graph below are one unit apart.  The red parabola shown is the graph of the equation y = ax^2 + bx + c. Find (a,b,c). 

 

Hello Guest!

 

Die Gitterlinien in der folgenden Grafik sind eine Einheit voneinander entfernt. Die gezeigte rote Parabel ist der Graph der Gleichung y = ax ^ 2 + bx + c. Finden Sie (a, b, c).

 

\(P_1(1,-6)\\ P_2(0,-5)\\ P_3(2,-5)\)

\( \color{BrickRed}y = ax^2 + bx + c\\ -6 = a + b + c\\ -5= c\\ -5= 4a + 2b + c\\\)

\(c=-5\)

\( -6 = a + b -5\\ a=-b-1\\ -5= 4a + 2b -5\\ 4a=-2b\\ a=-0.5b\\ -b-1=-0.5b\\ 0.5b=-1\)

\(b=-2\)

\(a=-6-b-c\\ a=-6+2+5 \)

\(a=1\)

\( y = x^2 -2x -5\)

laugh  !

 Oct 31, 2020

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