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)
Responses
x=0,1
x equals 0 comma 1
x=−3,1
x equals negative 3 comma 1
x=2,0
x equals 2 comma 0
no solution
no solution
Unfortunately, I cannot create and display a function graph here. However, I can provide you with the steps to find the solutions to the equation x^2 + 2x = 3 and describe the graph for you.
To solve for the solutions:
1. Rewrite the equation in standard quadratic form: x^2 + 2x - 3 = 0.
2. Factor the quadratic equation: (x + 3)(x - 1) = 0.
3. Set each factor equal to zero and solve for x:
a) x + 3 = 0 -> x = -3.
b) x - 1 = 0 -> x = 1.
Therefore, the solutions to the equation x^2 + 2x = 3 are x = -3 and x = 1.
Now, let's describe the graph of the function.
The graph of the equation x^2 + 2x = 3 is a parabola. It opens upwards because the coefficient of x^2 is positive. The x-intercepts of the graph represent the solutions to the equation. In this case, the graph intersects the x-axis at x = -3 and x = 1, confirming the solutions we found.
However, without a visual representation, it may be difficult to get a clear picture of the graph.