SOLUTION: Graph the following equation: y = �x^2 + 2x

Question 88249: Graph the following equation: y = �x^2 + 2x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

In order to graph , we need to plot some points.
We can start at any x value, so lets start at x=-2

Start with the given polynomial

Plug in

Raise -2 to the second power to get 4

Multiply 2 by -2 to get -4

Now combine like terms

So our 1st point is (-2,-8)

----Now lets find another point----

Start with the given polynomial

Plug in

Raise -1 to the second power to get 1

Multiply 2 by -1 to get -2

Now combine like terms

So our 2nd point is (-1,-3)

----Now lets find another point----

Start with the given polynomial

Plug in

Raise 0 to the second power to get 0

Multiply 2 by 0 to get 0

Now combine like terms

So our 3rd point is (0,0)

----Now lets find another point----

Start with the given polynomial

Plug in

Raise 1 to the second power to get 1

Multiply 2 by 1 to get 2

Now combine like terms

So our 4th point is (1,1)

----Now lets find another point----

Start with the given polynomial

Plug in

Raise 2 to the second power to get 4

Multiply 2 by 2 to get 4

Now combine like terms

So our 5th point is (2,0)

----Now lets find another point----

Start with the given polynomial

Plug in

Raise 3 to the second power to get 9

Multiply 2 by 3 to get 6

Now combine like terms

So our 6th point is (3,-3)

----Now lets find another point----

Start with the given polynomial

Plug in

Raise 4 to the second power to get 16

Multiply 2 by 4 to get 8

Now combine like terms

So our 7th point is (4,-8)

Now lets make a table of the values we have calculated

Now plot the points

Now connect the points to graph

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