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Solve the equation by graphing.

x^(2)+2x+1=0
First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex.
Then, use the graph to give the solution(s) to the equation.
If there is more than one solution, separate them with commas.

Solve the equation by graphing. $\newline$ $x^{2}+2x+1=0$ $\newline$ First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex. $\newline$ Then, use the graph to give the solution(s) to the equation. $\newline$ If there is more than one solution, separate them with commas.

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Solve equations using a quadratic pattern

Full solution

Q. Solve the equation by graphing.

\newline

x^{2}+2x+1=0

\newline

First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex.

\newline

Then, use the graph to give the solution(s) to the equation.

\newline

If there is more than one solution, separate them with commas.

Identify Vertex: Step $1$ : Identify the vertex of the parabola given by the equation $x^2 + 2x + 1$ .
Plot Vertex: Step $2$ : Plot the vertex on the graph.
Choose Points: Step $3$ : Choose points around the vertex to plot.
Plot Additional Points: Step $4$ : Plot the additional points on the graph.
Draw Parabola: Step $5$ : Draw the parabola using the plotted points.
Identify X-Intercepts: Step $6$ : Identify the $x$ -intercepts from the graph to find the solutions to the equation.

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