Graph this function
f(x)=1/2x^2
Ok, make a table of values, and graph this parabola.
Thank you!!
19 x s = 19s - 4s = _ , squared 25 ,devided by 6s ,= percentage out of 100
To graph the function f(x) = (1/2)x^2, we need to plot several points and then connect them to form a smooth curve.
We can choose some values for x and then calculate the corresponding values of f(x) using the given function. Let's choose some values of x and calculate the corresponding values of f(x):
For x = -2, f(x) = (1/2)(-2)^2 = (1/2)(4) = 2
For x = -1, f(x) = (1/2)(-1)^2 = (1/2)(1) = 1/2
For x = 0, f(x) = (1/2)(0)^2 = (1/2)(0) = 0
For x = 1, f(x) = (1/2)(1)^2 = (1/2)(1) = 1/2
For x = 2, f(x) = (1/2)(2)^2 = (1/2)(4) = 2
Now that we have a few points, we can plot them on a graph.
The points we have are:
(-2, 2)
(-1, 1/2)
(0, 0)
(1, 1/2)
(2, 2)
Now, we can connect these points to get a smooth curve. Since f(x) = (1/2)x^2 is a quadratic function, the graph will be a U-shaped curve.
Note that the graph continues indefinitely in both the positive and negative x-directions.
I hope this helps you understand how to graph the function f(x) = (1/2)x^2! Let me know if you have any further questions.