## anonymous 3 years ago use transformations to solve ;

1. anonymous

$\large y=-2f (\frac{ 1 }{ 2 } x) +3$

2. anonymous

3. anonymous

can someone explain ?

4. anonymous

What I think : $g(x)=-2f(\frac{ 1 }{ 2 }x) +3$ If you evaluate for x=4, $g(4)=-2f(2)+3$ by looking at the graph, you see that f(2) = 0 thus, $g(4)=3$

5. anonymous

hmm okay

6. anonymous

I'm not sure what they mean by "use transformations"

7. anonymous

they mean like apply all the changes to the graph looking at the formula above like the (-) means it's reflect on the x axis, but i dont understand the rest

8. anonymous

You'd have to draw a second graph of $y_{g}=g(x)$, using the formula and the graph $y_{f}=(\frac{ 1 }{ 2 }x)$

9. anonymous

$y _{g}=-2y _{f}+3$ $y _{f}$ is found by looking at the first graph, at a value on the x-axis that is x/2