$\text { The surface of a machine part is the region between the graphs of } y _ { 1 } = | x | \text { and }$

Multiple Choice

$\text { The surface of a machine part is the region between the graphs of } y _ { 1 } = | x | \text { and }$ $y _ { 2 } = 0.080 x ^ { 2 } + k$ as shown in the figure. Find $k$ if the parabola is tangent to the graph of $y _ { 1 }$ . Round your answer to three decimal places.

A) $3.125$
B) $0.160$
C) $0.080$
D) $0.320$
E) $6.250$