God G.

asked • 11/12/21# What Is The General Form Of y = (x+6)²+1?

pls help me im having a hard time in this topic lmao

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## 1 Expert Answer

Nathan A. answered • 11/14/21

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y = (x + 6)^{2} + 1

Standard form is y = ax^{2} + bx + c

- Expand or multiply out (x + 6)
^{2}, remember (x + 6)^{2}is (x + 6)(x + 6) which is x*x + x*6 + 6*x + 6*6 - Written in the standard way that becomes x
^{2}+ 6x + 6x + 36. - Combine the like terms 6x and 6x now you have x
^{2}+ 12x + 36. So, (x + 6)^{2}is x^{2}+ 12x + 36 - Replacing (x + 6)
^{2}in the original equation with the equivalent expression, x^{2}+ 12x + 36, and you have y = x^{2}+ 12x + 36 + 1 - Combine the like terms 36 and 1 and you get y = x
^{2}+ 12x + 37, which is standard form

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God is having a hard time?11/12/21