Quadratic Patterns Question

Question

The table below shows a relationship between values of x and y. Write an equation that describes the relationship for the values in the table.

Table:

x- (2) (3) (4) (5)

y- (6) (16) (30) (48)

Answer 1

y=2x^2 + 4x

points are (x,y) = (x,2x^2+4x)

y=2(x+1)^2 -2 is an upward opening parabola with vertex or minimum point at (-1,-2), y intercept = (0,0)

x intercept (0,0), axis of symmetry: x=0