Graph y ≥ -x^2 - 1. Click on the graph until the correct graph appears.

Mathematics

1 answer:

Nitella [24]3 years ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y\geq -x^{2}-1$

The solution of the inequality is the shaded area above the solid line of the equation of the parabola $y= -x^{2}-1$

The vertex of the parabola is the point (0,-1)

The parabola open downward (vertex is a maximum)

using a graphing tool

see the attached figure

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$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{2}{1}\implies 2}}$

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