Question 1199726
<br>
g(x) = (1/2) * f(x) + 3<br>
The "1/2" shrinks the graph vertically by a factor of 1/2.
The "+3" shifts the graph up 3 units.<br>
A graph, showing the transformations:<br>
red: f(x) = (3/4)x+2
green: (1/2) * f(x): red, shrunk vertically by a factor of 1/2
blue: (1/2) * f(x) + 3: green, shifted up 3 units<br>
{{{graph(400,400,-14,6,-5,5,(3/4)x+2,(3/8)x+1,(3/8)x+4)}}}<br>
The equation of the new graph is<br>
g(x) = (1/2)(f(x))+3
g(x) = (1/2)((3/4)x+2)+3
g(x) = ((3/8)x+1)+3
g(x) = (3/8)x+4<br>