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Find the quadratic function y ax +bx+ c whose graph passes through the given points.(-2,14), (1,-7), (3,-11)-0y =Enter your answer in the answer box.O IOneDriveTake a Test ...HP Nurse2DesktopThis PCacerFBFTF6F5F4F3F2F1Esc432UYTREWTabLOLL

Question
Find the quadratic function y ax +bx+ c whose graph passes through the given points.
(-2,14), (1,-7), (3,-11)
-0
y =
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Find the quadratic function y ax +bx+ c whose graph passes through the given points. (-2,14), (1,-7), (3,-11) -0 y = Enter your answer in the answer box. O I OneDrive Take a Test ... HP Nurse2 Desktop This PC acer FB FT F6 F5 F4 F3 F2 F1 Esc 4 3 2 U Y T R E W Tab LO LL

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Step 1

Given that,

 

The equation y a bxc passes through the points (-2 ,14), (1, -7) and (3, -11)
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The equation y a bxc passes through the points (-2 ,14), (1, -7) and (3, -11)

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Step 2

Substituting the points in the equation, we get

 

4a 2bc 14 ->(1)
a b+c-7-»(2)
9a+3b+c -11 -»(3)
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4a 2bc 14 ->(1) a b+c-7-»(2) 9a+3b+c -11 -»(3)

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Step 3

Solving these equations , ...

Subtracting equation (2) from equation (1), we get
3a -3b 21 a-b=7 ->(4)
Subtracting equation (2) from equation (3), we get
8a2b4
4a+b =-2 >(5)
From equations (4) and (5), we get
a 1, b-6
From equation (2), we get
c 2
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Subtracting equation (2) from equation (1), we get 3a -3b 21 a-b=7 ->(4) Subtracting equation (2) from equation (3), we get 8a2b4 4a+b =-2 >(5) From equations (4) and (5), we get a 1, b-6 From equation (2), we get c 2

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Equations and In-equations

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