SOLUTION: Graph the following equation: y = �x^2 + 1

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Question 88246: Graph the following equation: y = �x^2 + 1
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=-3

Start with the given polynomial

Plug in

Raise -3 to the second power to get 9

Now combine like terms

So our 1st point is (-3,-8)

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

Start with the given polynomial

Plug in

Raise -2 to the second power to get 4

Now combine like terms

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

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

Start with the given polynomial

Plug in

Raise -1 to the second power to get 1

Now combine like terms

So our 3rd point is (-1,0)

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

Start with the given polynomial

Plug in

Raise 0 to the second power to get 0

Now combine like terms

So our 4th point is (0,1)

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

Start with the given polynomial

Plug in

Raise 1 to the second power to get 1

Now combine like terms

So our 5th point is (1,0)

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

Start with the given polynomial

Plug in

Raise 2 to the second power to get 4

Now combine like terms

So our 6th point is (2,-3)

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

Start with the given polynomial

Plug in

Raise 3 to the second power to get 9

Now combine like terms

So our 7th point is (3,-8)

Now lets make a table of the values we have calculated

x y

-3 -8

-2 -3

-1 0

0 1

1 0

2 -3

3 -8

Now plot the points

Now connect the points to graph