Question

The next three problems (19, 20, 21) refer to the graph of f(x) shown at right. For each of the following functions, identify the correct graph in the gallery. 19.h(x) = f(x + 1) • b • d • None of these 20. h(x) = 2f(x) • a . b d . None of these 21.h(x) = f(2x) Math 30 Test 2

Answer 1

somo Given the graph of f(x) 3 5 4 5 -4 -2 Tori -3 19 h(x) = f(x+1) To draw the graph of f(x+1), we will have to shift the graph of f(x) by 1 unit leftwards as we will obtain same value for fwy for a inflx) and (x+1) in flx+1) t shifting graph of Flo by 1 und leftword, we get

Hence corre of option for goaph of hias= 20 hlas = 2fly) To dsaw the graph 2f(x), we will simply magnity the graph of f(x) by 2 times without altering the x-values of tw).

The graph of h(x) = 26 ) Hence so the the graph correct of hlas= 24 x) is as above. option for derestion zo is id 21 ha) f(2x) To dsaw the graph magnify x-values without altecting values f has= f(2x), we will of f(x) by ļ times the y-values of f(x)

gaph of Ihlos- af (2x) is Hence as so the above. the correct option for questions