SOLUTION: I am having a difficult time with this equation and graphing it. y=x^2-4x

Question 125371: I am having a difficult time with this equation and graphing it. y=x^2-4x
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=-1

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 1

Multiply -4 and -1 to get 4

Now combine like terms

So when ,

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

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 10

Multiply -4 and 0 to get 0

Now combine like terms

So when ,

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

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 11

Multiply -4 and 1 to get -4

Now combine like terms

So when ,

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

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 14

Multiply -4 and 2 to get -8

Now combine like terms

So when ,

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

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 19

Multiply -4 and 3 to get -12

Now combine like terms

So when ,

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

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 116

Multiply -4 and 4 to get -16

Now combine like terms

So when ,

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

Lets evaluate

Start with the given polynomial

Plug in

Evaluate to get 125

Multiply -4 and 5 to get -20

Now combine like terms

So when ,

Now lets make a table of the values we have calculated

Now plot the points

Now connect the points to graph (note: the more points you plot, the easier it is to draw the graph)

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