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Maths question on turning points

When you complete the square and you have to find the turning point, say you got 2(x + 2)^2 + 22, or something like that, would the number the bracket is multiplying affect the turning point, or is it still (-2, 22) in this case?
Original post by Thiru01
When you complete the square and you have to find the turning point, say you got 2(x + 2)^2 + 22, or something like that, would the number the bracket is multiplying affect the turning point, or is it still (-2, 22) in this case?


Well the turning point occurs when the squared term is zero. So, the x-value of where that happens isn't gong to be effected by anything outside the brackets. And since the squared term will be zero, multiplying it by anything isn't going to effect it. So, yes, it's still (-2,22).
Reply 2
Original post by ghostwalker
Well the turning point occurs when the squared term is zero. So, the x-value of where that happens isn't gong to be effected by anything outside the brackets. And since the squared term will be zero, multiplying it by anything isn't going to effect it. So, yes, it's still (-2,22).

Thank you so much, your explanation was so helpful!

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