Quadratic Equation

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Mathematics

Description

The given quadratic equation: y=x^2+2x-3

1.) Graph the quadratic equation.

Be sure to label the x- and y- axes and title the graph. Show all of your work for how the x-intercepts and vertex are found:

a. Graph the quadratic equation: y=x^2+2x-3

b. Label and include the ordered pair(s) for the x-intercepts on the graph.

c. Provide the solution to the quadratic equation:x^2+2x-3=0

2.) Solve the quadratic equation by completing the square.

a. Solve: x^2+2x-3=0

b. Show all of the necessary work.

3.) Solve the quadratic equation by utilizing the quadratic formula.

a. Solve by using the quadratic formula:x^2+2x-3=0

b. Show all the necessary work.

4.) Analysis of square root method.

a. Can the square root method be used to solve the quadratic equation?x^2+2x-3=0

b. Why or why not?

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Explanation & Answer

Hello,Here's the complete work. Check it out and reach out to me if you face any issue at all.

1) a) & b)

The x-intercepts are found by looking at the graph. The points on graph where the curve crosses the
x-axis are called the x-intercepts of the curve. From the graph, we can see that the curve crosses the
x-axis at points (-3,0) & (1,0).
The vertex of the curve is the point on the curve with lowest value of y-coordinate. We can see from
the graph ...


Anonymous
Excellent resource! Really helped me get the gist of things.

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