Answered

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Y=1/3x2+2x-3
Please sketch graph of the equation or inequality and show work

Sagot :

Lilith
[tex]y= \frac{1}{3}x^2+2x-3\\ \\x=-9 \Rightarrow y=\frac{1}{3} \cdot (-9)^2+2 \cdot (-9)-3=\frac{1}{3} \cdot 81-18-3=27-21=6 \\ \\x=-6 \Rightarrow y=\frac{1}{3} \cdot (-6)^2+2 \cdot (-6)-3=\frac{1}{3} \cdot 36-12-3=12-15=-3\\ \\x=-3 \Rightarrow y=\frac{1}{3} \cdot (-3)^2+2 \cdot (-3)-3=\frac{1}{3} \cdot 9-6-3=9-9=0[/tex]

[tex]x=0\Rightarrow y=\frac{1}{3} \cdot (0)^2+2 \cdot (0)-3=\frac{1}{3} \cdot 0-0-3=0-3=-3\\\\x=3\Rightarrow y=\frac{1}{3} \cdot 3 ^2+2 \cdot 3-3=\frac{1}{3} \cdot 9+6-3=3+3=6[/tex]



View image Lilith
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