Solving Quadratic Functions: A Quick Guide

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The discussion revolves around solving the function y = -3f(2-x) - 2, with participants questioning the approach to factoring and reflections in the equation. There is confusion regarding the terminology, particularly the term "root function," and whether the equation represents a quadratic function. Participants suggest isolating x in terms of y to clarify the problem. Additionally, there is a debate about whether the transformation is a vertical or horizontal stretch/compression, with one participant asserting it is vertical due to its position outside the bracket. The conversation highlights the need for clarity in notation and understanding the function's structure.
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Homework Statement



y=-3f(2-x)-2 for the root function...

Homework Equations





The Attempt at a Solution



If I am given a function like, y=-3f(2-x)-2 for the root function...

Do i factor out the negetive on the x?

Making it.. y=-3f(-(x-2)-2 . making a reflection on both the x/y axis's ? Or is that wrong?
 
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Simple yes/no answer? :)
 
I don't want to be rude, but I have no idea what you're trying to do. Is y = f(x)? Is your equation:

f(x) = 3f(2-x) - 2?

What are you trying to do with this?
 
"Yes, No" to what question? You titled this "Quick Quadratics Question", but there is no quadratic in the problem. You say you are given the "root" function -3(2- x)- 2. What do you mean by "root function"? and , as gb7nash aked what are you trying to do with it?
 
Perhaps the thing to do is to solve for x in terms of y? I don't fully understand this either. You could isolate x on the left and that might be what is being asked? Not sure? will look forward to the correct solution.
 
::: (sqrt)2(x-4) +1

Is this a horizontal or vertical stretch/compression?

I said it was a vertical, since its outside the bracket.
 
Nelo said:
::: (sqrt)2(x-4) +1

Is this a horizontal or vertical stretch/compression?

I said it was a vertical, since its outside the bracket.
Please stop using your (sqrt) notation, with parenthes around "sqrt". Put the parentheses around the expression whose square root you're taking. With your notation it's impossible to tell whether the +1 is inside the radical or outside.

Is this your function?
y = sqrt(2(x - 4) + 1)
 
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