SOLUTION: Y= x(squared) + 5x - 1 Graph the following

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Question 365717: Y= x(squared) + 5x - 1
Graph the following
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph y=x%5E2%2B5x-1, we need to plot some points.


Let's find y when x=-6
(Note: you can start with any x-value):


y=x%5E2%2B5x-1 Start with the given equation.


y=%28-6%29%5E2%2B5%28-6%29-1 Plug in x=-6.


y=1%2836%29%2B5%28-6%29-1 Square -6 to get 36.


y=36%2B5%28-6%29-1 Multiply 1 and 36 to get 36.


y=36-30-1 Multiply 5 and -6 to get -30.


y=5 Combine like terms.


So when x=-6, then y=5.


So we have the point .


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Let's find y when x=-5:


y=x%5E2%2B5x-1 Start with the given equation.


y=%28-5%29%5E2%2B5%28-5%29-1 Plug in x=-5.


y=1%2825%29%2B5%28-5%29-1 Square -5 to get 25.


y=25%2B5%28-5%29-1 Multiply 1 and 25 to get 25.


y=25-25-1 Multiply 5 and -5 to get -25.


y=-1 Combine like terms.


So when x=-5, then y=-1.


So we have the point .


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Let's find y when x=-4:


y=x%5E2%2B5x-1 Start with the given equation.


y=%28-4%29%5E2%2B5%28-4%29-1 Plug in x=-4.


y=1%2816%29%2B5%28-4%29-1 Square -4 to get 16.


y=16%2B5%28-4%29-1 Multiply 1 and 16 to get 16.


y=16-20-1 Multiply 5 and -4 to get -20.


y=-5 Combine like terms.


So when x=-4, then y=-5.


So we have the point .


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Let's find y when x=-3:


y=x%5E2%2B5x-1 Start with the given equation.


y=%28-3%29%5E2%2B5%28-3%29-1 Plug in x=-3.


y=1%289%29%2B5%28-3%29-1 Square -3 to get 9.


y=9%2B5%28-3%29-1 Multiply 1 and 9 to get 9.


y=9-15-1 Multiply 5 and -3 to get -15.


y=-7 Combine like terms.


So when x=-3, then y=-7.


So we have the point .


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Let's find y when x=-2:


y=x%5E2%2B5x-1 Start with the given equation.


y=%28-2%29%5E2%2B5%28-2%29-1 Plug in x=-2.


y=1%284%29%2B5%28-2%29-1 Square -2 to get 4.


y=4%2B5%28-2%29-1 Multiply 1 and 4 to get 4.


y=4-10-1 Multiply 5 and -2 to get -10.


y=-7 Combine like terms.


So when x=-2, then y=-7.


So we have the point .


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Let's find y when x=-1:


y=x%5E2%2B5x-1 Start with the given equation.


y=%28-1%29%5E2%2B5%28-1%29-1 Plug in x=-1.


y=1%281%29%2B5%28-1%29-1 Square -1 to get 1.


y=1%2B5%28-1%29-1 Multiply 1 and 1 to get 1.


y=1-5-1 Multiply 5 and -1 to get -5.


y=-5 Combine like terms.


So when x=-1, then y=-5.


So we have the point .


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Let's find y when x=0:


y=x%5E2%2B5x-1 Start with the given equation.


y=%280%29%5E2%2B5%280%29-1 Plug in x=0.


y=1%280%29%2B5%280%29-1 Square 0 to get 0.


y=0%2B5%280%29-1 Multiply 1 and 0 to get 0.


y=0%2B0-1 Multiply 5 and 0 to get 0.


y=-1 Combine like terms.


So when x=0, then y=-1.


So we have the point .


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Let's find y when x=1:


y=x%5E2%2B5x-1 Start with the given equation.


y=%281%29%5E2%2B5%281%29-1 Plug in x=1.


y=1%281%29%2B5%281%29-1 Square 1 to get 1.


y=1%2B5%281%29-1 Multiply 1 and 1 to get 1.


y=1%2B5-1 Multiply 5 and 1 to get 5.


y=5 Combine like terms.


So when x=1, then y=5.


So we have the point .


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Now let's make a table of the values we just found.


Table of Values:





xy
-65


-5-1


-4-5


-3-7


-2-7


-1-5


0-1


15

Now let's plot the points:




Graph:


Now draw a curve through all of the points to graph y=x%5E2%2B5x-1:


Graph of y=x%5E2%2B5x-1