VGChartz teaches me mathzz: Precalculus edition

[pearljammer]

Soriku said:

pearljammer said:

 

Good try, but you're not looking for a solution. You're re-writing the equation so that it measures in kilometres.

What the question is, is simply presenting you with a basic transformation. The complicated equation is only a distraction. When you have a transformation of form f(x) -> f(1/b *x) you have a dilation or a change of scale - widen or shorten horizontally.

Try a more simple example on your calculator to illustrate the point:  Y1 = x^2    and    Y2= (x/1.6)^2  See when b>1 it widens.

See how that same transformation works on a simple function? The same behaviour will occur with the transformation on your question. You should probably have some notes on transformations - check them over too!

I'm unsure if your teacher wants anything done with the 10 < x < 100 part.

OK here comes my dilemma - the calculator I have doesn't do graphs. I looked over and I have problems in my HW that require graphing...well I'm gonna have to get those from someone else.

Anyway I'd prefer if you just gave me the answer so I can look over that and try to make sense of it.

Well I gave you the descriptive part of the answer - describing the transformation.

The actual equation part is simple - simply substitute both x variables with (x/1.6) and then muliply it out.

H(x) = 0.002(x/1.6)^2 0.005(x/1.6) - 0.029

        = 0.00125x^12.503125x - 0.029

As for not having a calculator, though they may be tedious, there are several online alternatives easily found on google.

Edit: Anyhow, good luck on your quiz tomorrow! I'm off to sleep.