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Graph the equation y, equals, minus, x, squared, minus, 4, x, minus, 3y=−x 2 −4x−3 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.-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910xyAnswerAttempt 1 out of 2You must answer all questions above in order to submit.

Question

Graph the equation y, equals, minus, x, squared, minus, 4, x, minus, 3y=−x 2 −4x−3 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.-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910xyAnswerAttempt 1 out of 2You must answer all questions above in order to submit.

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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 - 4x - 3.

  1. First, let's find 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.

  2. Next, find 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 ax^2 + bx + c. In this case, a = -1 and b = -4, so the x-value of the vertex is -(-4)/2*(-1) = 2. Substitute x = 2 into the equation to find the y-value of the vertex.

  3. Now you can start plotting points. Start with the roots and the vertex. Then choose two more points, one on either side of the vertex. Substitute the x-values of these points into the equation to find the corresponding y-values.

  4. Once you have your five points, plot them on the graph. Then draw a smooth curve through the points to complete the graph of the equation.

This problem has been solved

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