1. function transformation

guys, i really need help on this! so i was given a equation as
y=3/4[ -2/5 (x+3)]^3 + 1

so far, i understand that the parent function is y= x^3
and i understand that the ys are all ways outside which is (vertical)
and the xs are always inside (horizontal)
i don't understand what do u do with the y-values mb and the x-value mb , which is the 3/4 = y and the -2/5 = x , overall i am really confuse on how to graph it.. have any tips on what to do, or a webpage to show me? thanks!!!!!

2. Originally Posted by lickman
guys, i really need help on this! so i was given a equation as
y=3/4[ -2/5 (x+3)]^3 + 1

so far, i understand that the parent function is y= x^3
and i understand that the ys are all ways outside which is (vertical)
and the xs are always inside (horizontal)
i don't understand what do u do with the y-values mb and the x-value mb , which is the 3/4 = y and the -2/5 = x , overall i am really confuse on how to graph it.. have any tips on what to do, or a webpage to show me? thanks!!!!!
It has the form $\displaystyle y = g(x) = a f(-b[x - c]) + d$. You're expected to be familiar with the transformations associated with a, b, c and d.

In your problem $\displaystyle f(x) = x^3$, $\displaystyle a = \frac{3}{4}$, $\displaystyle b = \frac{2}{5}$, c = -3 and d = 1. The negative means there's a reflection in the y-axis.

3. hi but i understand u, but i do not know how to plot a and b. so what do u do? is a and b the points?

4. A really serious problem 101

So far , i understand on the vertical and horizontal transformation, and i also its a form of y = a f [ k ( x - h)] + q and i understand that its a y= x^3 (parent function)
I understand that a is the y-mb value and k is the x- mb value but i do not know to graph them or what.

Can someone PLEASE, give me a detail explaination on this, and how to graph it. I know this is alot of work, but please for the sake of math!

5. Originally Posted by lickman
hi but i understand u, but i do not know how to plot a and b. so what do u do? is a and b the points?
No they're not. The values of a and b, and c and d tell you what transformations have been applied to the 'parent' function.

You draw your graph by drawing y = x^3 and then applying the necessary transformations to this graph (translations, dilations, reflections).