SOLUTION: Show me how to graph y=x^2+5x+3

Question 116779: Show me how to graph y=x^2+5x+3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To graph simply plot a sequence of points and connect them. In other words, find y values for some given x values and plot the points (x,y).

So let's start at x=-6

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with -6.

Evaluate to get 36.

Multiply 5 and -6 to get -30

Now combine like terms

-----------Now let's evaluate another value---------

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with -5.

Evaluate to get 25.

Multiply 5 and -5 to get -25

Now combine like terms

-----------Now let's evaluate another value---------

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with -4.

Evaluate to get 16.

Multiply 5 and -4 to get -20

Now combine like terms

-----------Now let's evaluate another value---------

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with -3.

Evaluate to get 9.

Multiply 5 and -3 to get -15

Now combine like terms

-----------Now let's evaluate another value---------

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with -2.

Evaluate to get 4.

Multiply 5 and -2 to get -10

Now combine like terms

-----------Now let's evaluate another value---------

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with -1.

Evaluate to get 1.

Multiply 5 and -1 to get -5

Now combine like terms

-----------Now let's evaluate another value---------

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with 0.

Evaluate to get 0.

Multiply 5 and 0 to get 0

Now combine like terms

-----------Now let's evaluate another value---------

Let's evaluate

Start with the given function.

Plug in . In other words, replace each x with 1.

Evaluate to get 1.

Multiply 5 and 1 to get 5

Now combine like terms

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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