How do I graph the quadratic equation $y = {(x - 4)}^{2} - 6$ $y=(x-4)^2-6$ ?

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How do I graph the quadratic equation $y = {(x - 4)}^{2} - 6$ $y=(x-4)^2-6$ ?

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Answer 1 · 2018-06-23T19:48:08

Take the graph $y = x^{2}$ $y=x^2$ . Then translate the graph 4 units to the right and 6 units down.

Explanation:

After translations, the graph will like this:

graph{(x-4)^2-6 [-10.12, 9.88, -8, 2]}

The vertex is located at $(4, - 6)$ $(4,-6)$ . The graph will pass through the points $(2, - 2)$ $(2,-2)$ , $(3, - 5)$ $(3,-5)$ , $(5, - 5)$ $(5,-5)$ , and $(6, - 2)$ $(6,-2)$ .

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How do I graph the quadratic equation $y = {(x - 4)}^{2} - 6$ $y=(x-4)^2-6$ ?

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Explanation:

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How do I graph the quadratic equation y=(x-4)^2-6y=(x−4)2−6y=(x-4)^2-6?

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How do I graph the quadratic equation $y = {(x - 4)}^{2} - 6$ $y=(x-4)^2-6$ ?