+129840 Melody is correct, rosala......"visualizing" graphs often takes some experience....this one isn't too bad, however.....
When we have something that has the form y = mx ± b, this is always a graph of a line ...
We don't even need to make a "table" in this case.....just pick two values for "x" and find their corresponding "y's".......this will give us two points on the graph....then, we only need to "connect the dots"
For instance, if we let x = 0 in the above equation y then = 1. And if we let x = 1, then y = 3. So we have two points, (0, 1) and (1, 3). All we need to do is to plot these on the graph and draw a line between them......voila !!!.....there's our graph !!! Check out the graph I generated in Desmos in the web link...you'll see that those two points are on the graph !!!
BTW ......you might want to give Desmos a try......it's easy to use, and you can get some practice in recognizing some different graphs just playing around with it......!!! Also, some advanced courses like calculus enable you to visualize some pretty complicated stuff by using a technique known as "curve sketching" .....(you'll get to that later, of course !!!)
+11912 Cphill where did u find that!
i cant understand graphs at all!they seem of no use to me!and even confusing aswell!
+118654 Yes Rosala,
there is a jump in understanding between working out equations and seeing how they relate to graphs.
Just fill out table of values like this one and plot the points,
That is a good place to start.
Do you understand what I mean?
$$\begin{tabular}{|c|c|c|c|c|}\hline
x&-1&0&1&2 \\\hline
y&&&&& \hline
\end{tabular}$$
When you joint them up they should make a line because equations that look like this always plot to lines.
You will slowly learn to recognise what a lot of different graphs of equations will look like. It is really quite cool when you get the hang of it.
+129840 Melody is correct, rosala......"visualizing" graphs often takes some experience....this one isn't too bad, however.....
When we have something that has the form y = mx ± b, this is always a graph of a line ...
We don't even need to make a "table" in this case.....just pick two values for "x" and find their corresponding "y's".......this will give us two points on the graph....then, we only need to "connect the dots"
For instance, if we let x = 0 in the above equation y then = 1. And if we let x = 1, then y = 3. So we have two points, (0, 1) and (1, 3). All we need to do is to plot these on the graph and draw a line between them......voila !!!.....there's our graph !!! Check out the graph I generated in Desmos in the web link...you'll see that those two points are on the graph !!!
BTW ......you might want to give Desmos a try......it's easy to use, and you can get some practice in recognizing some different graphs just playing around with it......!!! Also, some advanced courses like calculus enable you to visualize some pretty complicated stuff by using a technique known as "curve sketching" .....(you'll get to that later, of course !!!)
