The table of solutions for the given equation (y = -2x²) include the following:
<u>x y_</u>
-2 -8
-1 -2
0 -0
1 -2
2 -8
Also, a graph of the solution of this equation (y = -2x²) has been plotted in the image attached below.
<h3>How to determine the solution?</h3>
In order to determine the valid and true solutions to the given quadratic equation, we would have to substitute the values of contained in the table into the quadratic equations as follows;
At x = -2, the value of point y is as follows:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
At x = -1, the value of point y is as follows:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
At x = 0, the value of point y is as follows:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
At x = 1, the value of point y is as follows:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
At x = 2, the value of point y is as follows:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.
Read more on graphs here: brainly.com/question/4546414
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