Question

Which pair of separate functions is formulated by splitting the equation \[x^{2} = 2x + 3\] for graphing?

Options

• \[y = x^{2}\] and \[y = 2x - 3\]

• \[y = x^{2} - 2x\] and \[y = 3\]

• \[y = x^{2} + 2x + 3\] and \[y = 0\]

• \[y = x^{2}\] and \[y = 2x + 3\]

Answer 1

Splitting \[x^{2} = 2x + 3\] gives the two functions \[y = x^{2}\] and \[y = 2x + 3\]. Their graphs are drawn on the same axes, and the intersection points of the two graphs give the solutions of the original equation.