Find a quadratic function of the form $y=a x^{2}$ that passes through the point $(3,-18)$.
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(Use integers or fractiofis for any numbers in the expression.)

Answer

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Answer

$\boxed{y = -2x^2}$ is the quadratic function that passes through the point (3,-18).

Steps

Step 1 ：Substitute the x and y values of the point into the equation $y = ax^2$ to get $-18 = a(3)^2$.

Step 2 ：Solve the equation to find the value of a, which is -2.

Step 3 ：$\boxed{y = -2x^2}$ is the quadratic function that passes through the point (3,-18).