SOLUTION: Use a table of solutions to graph the quadratic equation y = x^2 + 1

Question 114165: Use a table of solutions to graph the quadratic equation y = x^2 + 1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's find values of y when x is from -3 to 3
note: remember, f(x) is the same as y

Let's evaluate

Start with the given function.

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

Evaluate to get 9.

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.

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.

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.

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.

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.

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.

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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