anonymous
  • anonymous
Use the graph of y = f(x) to graph the given function g. g(x) = -2f(x). Where f(x) is the solid function and g(x) is the dotted.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
Which point can you see on the function f(x) ?
anonymous
  • anonymous
-2?

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anonymous
  • anonymous
i think its C but im very unsure
jim_thompson5910
  • jim_thompson5910
a point is an ordered pair like (1,2) the 1 means you go 1 unit to the right 2 means you go 2 units up
anonymous
  • anonymous
I meant -2,-1
jim_thompson5910
  • jim_thompson5910
I see (-1,1) on the graph of f(x). Do you agree?
anonymous
  • anonymous
wow you are right
anonymous
  • anonymous
so now how do I get to the solution?
jim_thompson5910
  • jim_thompson5910
the notation -2f(x) means -2*f(x) the star * means multiply
jim_thompson5910
  • jim_thompson5910
y is the same as f(x) so we know when (-1,1) the value of y is 1, meaning that f(x) = 1
jim_thompson5910
  • jim_thompson5910
-2*f(x) = -2*1 = -2 x stays the same throughout. the point (-1,1) becomes (-1,-2)
anonymous
  • anonymous
ohhhh now that makes alot more sense
jim_thompson5910
  • jim_thompson5910
these steps will happen to EVERY point on f(x) to get g(x)
anonymous
  • anonymous
im graphing it now and it looks like D would be my solution
jim_thompson5910
  • jim_thompson5910
D is the correct answer
anonymous
  • anonymous
You are a lifesaver,thank you so much for all your help!
jim_thompson5910
  • jim_thompson5910
you're welcome

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