what is the vertex of x square -3

Question

mtalhahassan2 · Answer

0,-3

mtalhahassan2 · Answer

how can we graph this?

aum · Answer

Are you familiar with the graph of y = x^2 ?

mtalhahassan2 · Answer

Is we have to used the table of value?

mtalhahassan2 · Answer

yeah I am

mtalhahassan2 · Answer

tell me the easier way

aum · Answer

If you are familiar with y = x^2, then the graph of y = x^2 - 3 is just the graph of y = x^2  shifted DOWN by 3 units.

aum · Answer

|dw:1412890996297:dw|

aum · Answer

If you are asked to do it by table then put x = -3, -2, -1, 0, 1, 2, 3 and calculate the y values.  Plot the point and draw a graph:
  x    f(x)=x^2 - 3
-3    (-3)^2-3 = 6
-2
-1
  0
  1
  2
  3

mtalhahassan2 · Answer

like the value of original be 0,0, 1,1 2,2

mtalhahassan2 · Answer

which way is more easier

mtalhahassan2 · Answer

the table of value or just drawing the original graph then changing the points

aum · Answer

No.  That will be for y = x^2
Here it is y = x^2 - 3
So you have to plug in each x value and calculate the y-value.

Depends on what they are expecting.  If they just want a general sketch the first method is easier.  If they want an accurate plot the second method of table has to be used.