Answer:
y = 4x^2
Explanation:
To find a quadratic function of the form y = ax^2 that passes through the point (-2,16), we need to substitute the coordinates of the point into the equation and solve for the coefficient a.
Substituting x=-2 and y=16 into the equation, we get:
16 = a(-2)^2
16 = 4a
a = 4
Therefore, the quadratic function of the form y = ax^2 that passes through the point (-2,16) is:
y = 4x^2