Question

Suppose the graph of fis given. Describe how to obtain the graph of y=-2/(x-4) starting from the graph of y = f(x) and using a sequence of transformations. 16) Verify that the graph of the equation 3x+2xy = 1 is symmetric with respect to the x axis by using the correct test for symmetry. Using the graph in any way will not count towards justifying your answer.

both if you can. with each step

Answer 1

in -2 512-4) which vertically 15) Graph of fixed given. we have to obtaine graph q y First we shift f(x) 4 units to the ri right will draw graph of f(x-4) there we stretch 2 units to draw grophet of 2 f(x-4). Lastly, we reflect the graph of a f(x-4) over the -asin to draw graph of -2 f (x-4). sequence in as follows > 2618-4) -2 f(x-4) Scaling by reflection toright stretch groph by > f(x) shifting 61*-4) 4 united across x-anis. 2 units to 16) A we know that a graph so رن- 3x + 2xy 2 1 graph in symmetrice a a about X- axin if whenever (a, b) in on the graph tren so inca,ob). bet (a,b) lies on 3a+2ab2=1 (!= 3a + 2a (-5)2 = 0 so (a,b) also natinfies Equation ④ fence (a, b) also lies on the graph. ence with graph in symmetrice about x-anin.