Graphing y = x2us have currently discovered how to graph straight functions. Yet what does the graph the y = x2 look like? To find the answer, do a data table:
note that the parabola walk not have a consistent slope. In fact, as x rises by 1, starting with x = 0, y rises by 1, 3, 5, 7, . As x to reduce by 1, starting with x = 0, y again boosts by 1, 3, 5, 7, .
Graphing y = (x - h)2 + k
In the graph the y = x2, the point (0, 0) is called the vertex. The crest is the minimum allude in a parabola that opens upward. In a parabola that opens downward, the vertex is the best point.
We can graph a parabola v a different vertex. Observe the graph the y = x2 + 3:
We deserve to also change the crest left and also right. Watch the graph the y = (x + 3)2:
You are watching: Y=x^1/2
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In general, the peak of the graph the y = (x - h)2 + k is (h, k). Because that example, the peak of y = (x - 2)2 + 1 is (2, 1):
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