SOLUTION: Hi thank you Cecilia, for the solution to my other problem, Here is another one I am not sure of: Use several points to graph. If f(x)= xsquared

SOLUTION: Hi thank you Cecilia, for the solution to my other problem, Here is another one I am not sure of: Use several points to graph. If f(x)= xsquared - 5x + 11. Find f(-3).

Question 86559: Hi thank
you Cecilia, for the solution to my other problem, Here is another one I am not sure of: Use several points to graph. If f(x)= xsquared - 5x + 11. Find f(-3). I have an answer of 17, but am not sure. Thank you for your much needed help
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.
So we can start at any x value. So lets start at x=-5

Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 1st point is (-5,61)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 2nd point is (-4,47)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 3rd point is (-3,35)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 4th point is (-2,25)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 5th point is (-1,17)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 6th point is (0,11)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 7th point is (1,7)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 8th point is (2,5)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 9th point is (3,5)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 10th point is (4,7)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when

So our 11th point is (5,11)

Now lets make a table of the values we have calculated

Now plot the points

Now connect the points, this is the graph of

So by looking at the table, we can see that . You were close. I'm assuming you calculated

you only squared the 3 and not the negative

where you should have done this (note: I'm squaring the negative also. So it goes from -3 to 9)

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