Nonlinear Functions

Question

y=x²−2x−15

The equation above represents a parabola in the xy-plane. From which of the following equivalent forms of the equation can the x-intercepts of the parabola be identified as constants or coefficients in the equation?

A. y+15=x²−2x

B. y=(x−5)(x+3)

C. y+16=(x−1)²

D. y=x(x−2)−15

Answer 1

B) 5 and -3 are the x intercepts

when y = (x-x1)(x-x2) then x1 and x2 are x intercepts

A & D give y intercepts

C gives the vertex