Algebra 1 help please

Question

I have to complete a table for each function.

 

f(x)=x^2  |X|0| +-1 | +-2 | +-3|

               -------------------------

               |Y| ?| ?| ?|?|

 

g(x)=-2x^2  |X|0| +-1 | +-2 | +-3|
                   -------------------------
                   |Y| ?| ?| ?|?|

 

h(x)=1/4x^2   |X|0| +-1 | +-2 | +-3|
                      -------------------------
                      |Y| ?| ?| ?|?|

 

Then, I have to graph each function from problem 1-3 on a grid and label it

Answer 1

This is probably a lot easier than you think it is.  The function f(x) = x² is simply asking you to square each number.  When you square 0 you get 0.  When you square ±1 you get +1.  When you square ±2 you get +4.  When you square ±3 you get +9.  Those are the numbers that go into your table for the Y values.  

 

You can fill in the tables for g(x) and h(x) in the same way.  Here's a hint - for g(x) just multiply the values of f(x) by (-2), and for h(x) just multiply the values of f(x) by 1/4.  

 

To graph the functions just plot the points on a cartesian coordinate system and draw a smooth curve thru the points.  For example, the point (0,0) is at the origin, the point (1,1) is one unit right and one unit up from the origin, the point (2,4) is 2 units right and 4 units up from the origin, and so on.