Graph each quadratic equation by finding and plotting ordered pair solutions.
$y=-3x^2$

• A.
• B.
• C.
• D.

Answer: (C)

Verified step by step guidance

1. Identify the quadratic equation given: \(y = -3x^2\). This is a parabola with its vertex at the origin (0,0) and it opens downward because the coefficient of \(x^2\) is negative.
2. Create a table of values by choosing several values for \(x\) (for example, \(-2\), \(-1\), \$0\(, \)1\(, and \)2\() and calculate the corresponding \)y\( values using the equation \)y = -3x^2$.
3. Plot the ordered pairs \((x, y)\) on the coordinate grid. For instance, when \(x = 1\), calculate \(y = -3(1)^2 = -3\), so plot the point \((1, -3)\). Repeat this for all chosen \(x\) values.
4. Draw a smooth curve through the plotted points to form the parabola. Since the parabola opens downward, the curve should be concave down with the vertex at the origin.
5. Label the vertex and the plotted points on the graph to clearly show the shape and position of the parabola.