SOLUTION: Graph the quadratic equation after complete the given table of values. y = x2 + 2 X= -2, -1, 0, 1, 2 Y=

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Question 85545: Graph the quadratic equation after complete the given table of values. y = x2 + 2
X= -2, -1, 0, 1, 2
Y=

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2%2B2 Start with the given equation
y=1%28-2%29%5E2%2B2 Plug in x=-2
y=1%284%29%2B2 Square -2
y=4%2B2 Multiply
y=6 Add


So we have the point (-2,6)

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y=x%5E2%2B2 Start with the given equation
y=1%28-1%29%5E2%2B2 Plug in x=-1
y=1%281%29%2B2 Square -1
y=1%2B2 Multiply
y=3 Add


So we have the point (-1,3)

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y=x%5E2%2B2 Start with the given equation
y=1%280%29%5E2%2B2 Plug in x=0
y=1%280%29%2B2 Square 0
y=0%2B2 Multiply
y=2 Add


So we have the point (0,2)

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y=x%5E2%2B2 Start with the given equation
y=1%281%29%5E2%2B2 Plug in x=1
y=1%281%29%2B2 Square 1
y=1%2B2 Multiply
y=3 Add


So we have the point (1,3)

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y=x%5E2%2B2 Start with the given equation
y=1%282%29%5E2%2B2 Plug in x=2
y=1%284%29%2B2 Square 2
y=4%2B2 Multiply
y=6 Add


So we have the point (2,6)

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Now lets make a table of the values we have calculated
xy
-26
-13
02
13
26
Now plot the points
drawing%28+900%2C+900%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2Ccircle%28-2%2C6%2C0.05%29%2C+%0D%0A++circle%28-2%2C6%2C0.08%29%2C+%0D%0Acircle%28-1%2C3%2C0.05%29%2C+%0D%0A++circle%28-1%2C3%2C0.08%29%2C+%0D%0Acircle%280%2C2%2C0.05%29%2C+%0D%0A++circle%280%2C2%2C0.08%29%2C+%0D%0Acircle%281%2C3%2C0.05%29%2C+%0D%0A++circle%281%2C3%2C0.08%29%2C+%0D%0Acircle%282%2C6%2C0.05%29%2C+%0D%0A++circle%282%2C6%2C0.08%29+%0D%0A%29
Now connect the points, this is the graph of y=x%5E2%2B2
drawing%28+900%2C+900%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++graph%28+900%2C+900%2C-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B2%29%2Ccircle%28-2%2C6%2C0.05%29%2C+%0D%0A++circle%28-2%2C6%2C0.08%29%2C+%0D%0Acircle%28-1%2C3%2C0.05%29%2C+%0D%0A++circle%28-1%2C3%2C0.08%29%2C+%0D%0Acircle%280%2C2%2C0.05%29%2C+%0D%0A++circle%280%2C2%2C0.08%29%2C+%0D%0Acircle%281%2C3%2C0.05%29%2C+%0D%0A++circle%281%2C3%2C0.08%29%2C+%0D%0Acircle%282%2C6%2C0.05%29%2C+%0D%0A++circle%282%2C6%2C0.08%29+%0D%0A%29