Question

Describe how the graph of g(x)=|x|=k changes compared to the graph of f(x)=|x| when k is greater than 0 and when k is less than 0

Answer 1

*g(x)=|x|+k

Answer 2

@aum @triciaal

Answer 3

f(x) = absolute value of x means positive value only
g(x) = f(x) + k
when k is positive g(x) is positive
when k is negative the maximum value for g(x) is f(x)

Answer 4

when k is positive the range is 0 to positive infinity
when k is negative the range is negative infinity to f(x)

Answer 5

g(x) = |x| + k.
When k is positive, g(x) = |x| + k shifts f(x) = |x| UP by k units.
When k is negative. g(x) = |x| + k shifts f(x) = |x| DOWN by k units.

Answer 6

The above graph is when k > 0.

For k < 0, shift g(x) below the x axis by k units so that the y-intercept is -k.