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.

Question

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.

anonymous · Answer

attachment

jim_thompson5910 · Answer

Which point can you see on the function f(x) ?

anonymous · Answer

-2?

anonymous · Answer

i think its C but im very unsure

jim_thompson5910 · Answer

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 · Answer

I meant -2,-1

jim_thompson5910 · Answer

I see (-1,1) on the graph of f(x). Do you agree?

anonymous · Answer

wow you are right

anonymous · Answer

so now how do I get to the solution?

jim_thompson5910 · Answer

the notation -2f(x) means -2*f(x)

the star * means multiply

jim_thompson5910 · Answer

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 · Answer

-2*f(x) = -2*1 = -2

x stays the same throughout. 

the point (-1,1) becomes (-1,-2)

anonymous · Answer

ohhhh now that makes alot more sense

jim_thompson5910 · Answer

these steps will happen to EVERY point on f(x) to get g(x)

anonymous · Answer

im graphing it now and it looks like D would be my solution

jim_thompson5910 · Answer

D is the correct answer

anonymous · Answer

You are a lifesaver,thank you so much for all your help!

jim_thompson5910 · Answer

you're welcome