Question

How do the graphs f(x)= |x| and g(x)= 3 3|x| relate

Answer 1

The correct answer is option A The graph of g(x) is the graph of f(x) stretched vertically

Explanation:

The graph of the parent function as well as the daughter function are given in the attached figure. If we look at the graph w can clearly see that the daughter function is showing us a graph that is stretched vertically.

Answer 2

Option a. The graph of g(x) is the graph of f(x) stretched vertically.

Explanation:

If we draw a graph of f(x) = |x| and g(x) = 3|x| and we compare them

we find that g(x) is stretched vertically.

Now we will check it from both the graphs.

For graph y = |x|

for x = 4

y = 4

But for second graph which is y = 3|x|

for x value = 4

y = 12

Therefore for y values graph g(x) got stretched vertically.

Hence option a. is correct.