Question

In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then print a sheet of graph paper and graph the quadratic function to turn in to your teacher. Be sure to label the axes and vertex.

y = -x2 - 4x - 3

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Answer 1

To graph the quadratic function y = -x^2 - 4x - 3, find the vertex, plot additional points, and connect them with a curve.

Step-by-step explanation:

To graph the quadratic function y = -x2 - 4x - 3, follow these steps:

1. Identify the coefficients and constant term: a = -1, b = -4, c = -3.
2. Find the x-coordinate of the vertex using the formula x = -b/(2a):

• x = -(-4)/(2*(-1)) = -4/(-2) = 2

Substitute the x-coordinate of the vertex into the equation to find the y-coordinate:

• y = -(2)2 - 4(2) - 3 = -4 - 8 - 3 = -15

Plot the vertex at (2, -15) on the graph paper.Use the symmetry of the parabola to plot two additional points, equidistant from the vertex:

• If we move 1 unit to the right of the vertex (x = 3), we find y = -(3)2 - 4(3) - 3 = -9 - 12 - 3 = -24.
• If we move 1 unit to the left of the vertex (x = 1), we find y = -(1)2 - 4(1) - 3 = -1 - 4 - 3 = -8.

Connect the three points with a smooth curve to complete the graph.Label x-axis, y-axis, the vertex, and any other relevant points or lines.

Answer 2

This was my answer, hopefully it helps!