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. Start with the quadratic equation given: \(y = -3x^2\).
2. Choose several values for \(x\) (for example, \(-2\), \(-1\), \(0\), \(1\), and \(2\)) to find corresponding \(y\) values by substituting each \(x\) into the equation.
3. Calculate each \(y\) value using the formula \(y = -3x^2\). For instance, when \(x = 1\), \(y = -3(1)^2 = -3\); when \(x = -1\), \(y = -3(-1)^2 = -3\), and so on.
4. Plot each ordered pair \((x, y)\) on the coordinate grid. These points will be symmetric about the \(y\)-axis because the equation is a function of \(x^2\).
5. Draw a smooth curve through the plotted points to form a downward-opening parabola, since the coefficient of \(x^2\) is negative.