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.
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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.
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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.