Week 8 Concept Check - MAT 117

# Week 8 Concept Check - MAT 117 - For example in the...

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Week 8 Concept Check Gregory Mann In order to determine where to find the solutions when looking at a graph of a quadratic equation, we must locate the x-coordinates of the points where a graph touches or crosses the x- axis. The solutions are located at the points where the graph of the quadratic equation crosses the x-axis. For example, if there is a graph that crosses the x-axis at point (2,4), the solution would then be x=2. When f(x) = 0, solutions will occur where the graph crosses the x-axis.

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Unformatted text preview: For example, in the following graph, the solutions to the quadratic equation are x = -3 and x = -2, since the graph crosses the x-axis at (-3, 0) and (-2, 0). If the graph never crosses the x-axis, such as in the following case, then the equation doesn’t have any real-number solutions: Finally, if the graph only touches the x-axis at one place, the equation has only one solution, such as it happens with the graph of y = (x + 1) 2 , shown next. Week 8 Concept Check Gregory Mann...
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