SOLUTION: Hello I need to know how to complete: Graph the equation y=x(squared) + 2 thanks

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Question 86475: Hello I need to know how to complete:
Graph the equation y=x(squared) + 2
thanks

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given equation is y = x(squared) + 2

==> y = x%5E2+%2B+2

The given equation is a quadratic in "x". The graph of any quadratic equation will always be a parabola.

Hence, the graph look like this:


+graph%28+400%2C+400%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2+%2B+2%29+


Hence, the solution..

This can also be worked in another way...

Let f(x) = x%5E2+%2B+2

Given the equation just plug in the values for x and then make the table for x and f(x). Then plot all these points on the number line along the co-ordinate axes...

For example when x = 0, f(x) = 2

x = 1 , f(x) = 3

x = 2 . f(x) = 5

x = 3 , f(x) = 10

And similarly for the negative values..

x = -1 , f(x) = 3

x = -2 , f(x) = 5

x = -3 , f(x) = 10

f(x) will have the same values, since the given function is an even function..

Thus, the solution...

Regards