Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the graph of yequals2xminusxsquared, what is the smallest possible area?
0
2
x
y
left parenthesis a comma 2 a minus a squared right parenthesis
A coordinate system has an unlabeled horizontal x-axis and an unlabeled vertical y-axis. A parabola that opens downward from a vertex in the first quadrant crosses the x-axis at 0 and 2. A dashed line falls from left to right and is tangent to the parabola at the point (a, 2 a minus a squared). The area above the x-axis, to the right of the y-axis, and below the dashed line is shaded.
Question content area bottom
Part 1
The smallest possible area is
enter your response here. It occurs at aequals
enter your response here.
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