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don't judge, that took me ages
well, if our equation is y = x^3, then all we need to do is do a few quick calculations and draw a few points if x = 0, then y = x^3 = ?
i don't get x ^ 3 = ? what is ^
^ means exponent so y = x^3 = x*x*x
I presume that your equation looks like this? |dw:1440016180277:dw|
it looks like |dw:1440016208739:dw|
oh, ok, then let's go with that if x = 0, then y = 3x = ?
y = 3x is the part I don't get
well, when we want to graph a point, we need (x,y), right? y = 3x tells us how to find y when we have x
yes, y = 3(0) = 0 when x = 0 this gives us the point (0,0)
now, when x = 1, y = 3x = ?
right, and 3(1) = 3, correct? this gives us the point (1,3)
now, let's put (0,0) and (1,3) on your graph:
now we draw a straight line through the two points, and then we have our line.|dw:1440016477564:dw|
is that clear?
Not quite. sorry it took me awhile, my dogs were fighting
well, let's go from the top do you understand how to graph points?
for example, if I told you to put the point (3,5) on a graph, could you do it?
ok, you understand that every point has an x and y-coordinate, correct? every point looks like this: (x,y) where x = a number and y = a number, with me so far?
ok, now let's move on to turning an equation into a graph the problem gives you the equation y = 3x which means that we can pick any number to be x, and get a matching y value by multiplying 3*x so, if x = 0, then y = ?
right, y = 0 when x = 0 remember how we write a point? we can write x = 0 and y = 0 as (0,0) and graph this point
next, we can pick another x value, let's just go with x = 1 as an example when x = 1, y = ?
when x = 1, y = ?
idk why it did that. It glitched and sent it again >.<
right, and 3 times 1 = ?
right, so y = 3 when x = 1 we can write this as (1,3). so we have two points now, (0,0) and (1,3). draw these two points on a graph, then draw a straight line through them, like so:
does that make a bit more sense now?
Why those numbers?
I just picked x = 0 and x = 1 because they were easy to calculate, you can pick any 2 x values you want