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Which Inequality In Standard Form Represents The Shaded Region

Which Inequality In Standard Form Represents The Shaded Region - To determine which inequality in standard form represents the shaded region, we need to analyze each option provided: Write the equation of the boundary line of this inequality in standard form. The parabola opens downwards, so the shaded region is below the parabola. Determine the equation of the line that forms the boundary. Explain how to determine which side of the boundary. Test a point to determine which side of the line to shade; If it does not hold true, shade the other side of the line. Which inequality does the shaded region represent? This option matches the characteristics. Let's denote the coordinates of the shaded region's vertices.

This corresponds to option d. This corresponds to option d, as it forms the correct downward. Y ≥ x 2 + 8 x + 9. The inequality that represents the shaded region would likely be y ≤ x 2 − 8 x + 9 if the shaded area is below the parabola. The parabola opens downwards, so the shaded region is below the parabola. Which inequality does the shaded region represent? 👉 learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line. To determine which inequality in standard form represents the shaded region, we need to consider the structure of the quadratic equation and how it relates to the graph of a parabola. If it does not hold true, shade the other side of the line.

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If It Does Not Hold True, Shade The Other Side Of The Line.

Let's denote the coordinates of the shaded region's vertices. The standard form of a quadratic inequality is y ≥ a x 2 + b x + c y \geq ax^2 + bx + c y ≥ a x 2 + b x + c or y ≤ a x 2 + b x + c y \leq ax^2 + bx + c y ≤ a x 2 + b x + c, where the inequality sign. This corresponds to option d, as it forms the correct downward. Which inequality does the shaded region represent?

If The Inequality Holds True, Shade The Origin Side Of The Line.

Y < − x 2 − 12 x − 32. To determine which inequality in standard form correctly represents the shaded region, we need to analyze the two provided inequalities: The inequality that represents the shaded region would likely be y ≤ x 2 − 8 x + 9 if the shaded area is below the parabola. To determine which inequality in standard form represents the shaded region, we need to consider the structure of the quadratic equation and how it relates to the graph of a parabola.

The Shaded Region Represents The Solution Set.

This corresponds to option d. Upon examining the inequalities, the one that accurately represents the shaded region is y < − x 2 + 12 x − 32. To determine the inequality that represents a shaded region, follow these steps: This option matches the characteristics.

Graph The Boundary Line On The Coordinate Grid.

Y ≥ x 2 + 8 x + 9. 👉 learn how to graph linear inequalities written in standard form. To find a linear inequality with the given solution set, we need to consider the shaded region. The inequality representing the shaded region under the given downward opening parabola is y < − 2 1 x 2 − 6 x − 16.

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