Graph the equation y, equals, minus, x, squared, minus, 10, x, minus, 21y=−x 2 −10x−21 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.Click to plot points. Click points to delete them.-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910xy
Question
Graph the equation y, equals, minus, x, squared, minus, 10, x, minus, 21y=−x 2 −10x−21 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.Click to plot points. Click points to delete them.-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910xy
Solution
I'm sorry, but as a text-based AI, I'm unable to graph equations or interact with graphical interfaces. However, I can guide you on how to plot the equation y = -x^2 - 10x - 21.
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Identify the roots of the equation. The roots are the x-values where y = 0. You can find these by setting the equation equal to zero and solving for x.
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Identify the vertex of the parabola. The x-value of the vertex can be found using the formula -b/2a, where a and b are the coefficients from the equation in the form ax^2 + bx + c. The y-value of the vertex can be found by substitifying the x-value of the vertex into the equation.
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Plot the roots and the vertex on the graph.
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Choose two more points to plot. You can choose any x-values and find the corresponding y-values by substituting the x-values into the equation.
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Draw a smooth curve through the points to complete the graph of the equation.
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