Answer
$f(x) = 3|x-2|$
Vertex=(2,0)
x-intercept: (2,0)
y-intercept: (0,6)
Work Step by Step
$f(x) = 3|x-2|$
The graph is y=|x| with a dilation of factor $3$ from the x axis and a translation of 2 units in the positive x direction. Thus, the vertex is (2,0).
To find the x-intercept, we substitute in y=0.
$0 = 3\times|x-2|$
$|x-2|=0$
$x-2= and -x+2=0$
$x = 2$
Therefore, the x-intercept is (2,0).
To find the y-intercept, we substitute in x=0.
$y = 3\times2=6$
Therefore, the y-intercept is (0,6).