SOLUTION: I am having trouble finding book help and with my notes to learn/solve this problem.
Graph each equation:
Y=1/2xsquared
Can you help me?
Algebra.Com
Question 187667This question is from textbook Mathematical Excursions
: I am having trouble finding book help and with my notes to learn/solve this problem.
Graph each equation:
Y=1/2xsquared
Can you help me?
This question is from textbook Mathematical Excursions
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Graph each equation:
Y=1/2xsquared
-----------------
get the (free) software to make graphs at
http://www.padowan.dk/graph/
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to plot a few points
Start with the given equation.
Plug in .
Square -4 to get 16.
Multiply.
Reduce.
So if , then
This means that we have the point (-4,8)
---------------------------------------------
Start with the given equation.
Plug in .
Square -3 to get 9.
Multiply.
Divide.
So if , then
This means that we have the point (-3,4.5)
---------------------------------------------
Start with the given equation.
Plug in .
Square -2 to get 4.
Multiply.
Reduce.
So if , then
This means that we have the point (-2,2)
---------------------------------------------
Start with the given equation.
Plug in .
Square -1 to get 1.
Multiply.
Divide.
So if , then
This means that we have the point (-1,0.5)
---------------------------------------------
Start with the given equation.
Plug in .
Square 0 to get 0.
Multiply.
Reduce.
So if , then
This means that we have the point (0,0)
---------------------------------------------
Start with the given equation.
Plug in .
Square 1 to get 1.
Multiply.
Divide.
So if , then
This means that we have the point (1,0.5)
---------------------------------------------
Start with the given equation.
Plug in .
Square 2 to get 4.
Multiply.
Reduce.
So if , then
This means that we have the point (2,2)
---------------------------------------------
Start with the given equation.
Plug in .
Square 3 to get 9.
Multiply.
Divide.
So if , then
This means that we have the point (3,4.5)
---------------------------------------------
Start with the given equation.
Plug in .
Square 4 to get 16.
Multiply.
Reduce.
So if , then
This means that we have the point (4,8)
---------------------------------------------
Now lets make a table of the values we have calculated:
| x | y | | -4 | 8 |
| -3 | 4.5 |
| -2 | 2 |
| -1 | 0.5 |
| 0 | 0 |
| 1 | 0.5 |
| 2 | 2 |
| 3 | 4.5 |
| 4 | 8 |
Now let's plot the points:
---------------------------------------------------------------------
Now draw a curve through all of the points to graph :
Graph of
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