Quadratic Patterns Question

Question

The points (0, 0), (1, 4), (2, 16), and (3, 36) are on the graph of a function.

Write an explicit function that can be used to represent the function.

Answer 1

(x,y) = (x,(2x)^2) = (x,4x^2)

y=(2x)^2

y = 4x^2 is an upward opening parabola with vertex and minimum point = (0,0)

Answer 2

This function is y = 4x².