A rectangle is 10 cm longer than it is wide. If its length and width are both decreased by 2 cm, its area
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Answer:
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The equation of a vertical parabola into vertex form is
where
(h,k) is the vertex of the parabola
Convert the equation into vertex form
Move the constant term to the left side
Complete the square
Rewrite as perfect squares
therefore
The vertex is the point (-1,-6)