Answer
$f(x) = 4|x-1|$
Vertex=(1,0)
x-intercept: (1,0)
y-intercept: (0,4)
Work Step by Step
$f(x) = 4|x-1|$
The graph is y=|x| with a dilation of factor $4$ from the x-axis and a translation of 1 unit in the positive x direction. Therefore, the vertex is (1,0).
To find the x-intercept, we substitute in y=0.
$0 = 4\times|x-1|$
$|x-1|=0$
$x = 1$
Therefore, the x-intercept is (1,0).
To find the y-intercept, we substitute in x=0.
$y = 4\times|0-1| = 4\times1 = 4$
Therefore, the y-intercept is (0,4).