MATH SOLVE

2 months ago

Q:
# What are the coordinates of the vertex of the graph of f(x)=−3|x−1|? Enter your answer in the boxes. ( , )

Accepted Solution

A:

well, the cheap answer is

f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.

now, what value of "x" makes the absolute value expression to 0?

well, let's just set it to 0 and check,

x - 1 = 0

x = 1

so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at

f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )

f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.

now, what value of "x" makes the absolute value expression to 0?

well, let's just set it to 0 and check,

x - 1 = 0

x = 1

so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at

f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )