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Which of the following is the vertex of the function? y = x2  14x + 13
A. (1, 0)
B. (3, 20)
C. (5, 32)
D. (7, 36)
 2 years ago
 2 years ago
Which of the following is the vertex of the function? y = x2  14x + 13 A. (1, 0) B. (3, 20) C. (5, 32) D. (7, 36)
 2 years ago
 2 years ago

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MrYanthoBest ResponseYou've already chosen the best response.1
You need to complete the square
 2 years ago

MrYanthoBest ResponseYou've already chosen the best response.1
Do you know how to do that?
 2 years ago

MrYanthoBest ResponseYou've already chosen the best response.1
\[y=(x^214x)+14\] Then I take half the x coefficient and square it. Then I add and subtract that number \[y=(x^214x+4949)+14\] Then I bring the minus number out of the brackets \[y=(x^214x+49)49+14\] Now, what we have done is forced the brackets to be a perfect square. So we can factor \[y=(x7)^249+14\] And just simplify \[y=(x7)^235\] Now that it is in vertex form, we can see that the vertex is (7,35)
 2 years ago

MrYanthoBest ResponseYou've already chosen the best response.1
Just remember...that in the step where we bring the negative 49 out of the brackets, if there is a number in front of the brackets, you would have had to multiply the 49 by that number when you bring it out.
 2 years ago
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