## burhan101 Group Title use transformations to solve ; 2 years ago 2 years ago

1. burhan101

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

2. burhan101

3. burhan101

can someone explain ?

4. AlexUL

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. burhan101

hmm okay

6. AlexUL

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

7. burhan101

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. AlexUL

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. AlexUL

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