Question

Create a function graph to answer the question. Use the function graph to solve for the solutions to the equation x2+2x=3
.(1 point)

x=2,0


x=−3,1


x=0,1


no solution

Answer 1

Solve x^2 + 2x = 3 by graphing y = x^2 + 2x and y = 3 (or equivalently graph y = x^2 + 2x − 3 and find its zeros).

y = x^2 + 2x − 3 is a parabola opening up with vertex at x = −1, y = −4, and it crosses the x-axis where
x^2 + 2x − 3 = 0 → (x + 3)(x − 1) = 0 → x = −3 or x = 1.

So the correct choice is: x = −3, 1.