Answer
$h(x) = -\frac{1}{2}|x|$
Vertex=(0,0)
x-intercept: (0,0)
y-intercept: (0,0)
Work Step by Step
$h(x) = -\frac{1}{2}|x|$
The graph is y=|x| with a dilation of factor $\frac{1}{2}$ from the x-axis and a reflection in the x-axis. As there are no translations, the vertex remains at (0,0).
To find the x-intercept, we substitute in y=0.
$0 = -\frac{1}{2}|x|$
$x = 0$
Therefore, the x-intercept is (0,0).
To find the y-intercept, we substitute in x=0.
$y =-\frac{1}{2} \times 0 = 0$
Therefore, the y-intercept is (0,0).
