## burhan101 Group Title use transformations to solve ; one year ago one year ago

1. burhan101 Group Title

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

2. burhan101 Group Title

3. burhan101 Group Title

can someone explain ?

4. AlexUL Group Title

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 Group Title

hmm okay

6. AlexUL Group Title

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

7. burhan101 Group Title

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 Group Title

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 Group Title

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