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Jeramiah Pineda
Mathematics
24 September, 12:34
What is the vertex form of y = x^2 - 20x + 15
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Jayda Mack
24 September, 12:39
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So your equation is y = x² - 20x + 15. what you'll want to do is complete the square, so take half of 20 and square it. 20/2 = 10. 10² = 100. add 100 to both sides. and simplify x²-20x+100+15 to (x²-10) ²+15. now subtract 100 from both sides to get y alone. this leaves you with y = (x²-10) - 85. that's your vertex form.
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Isaiah Berger
24 September, 12:56
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Given a function:
y=ax²-bx+c
The vertex is: (-b/2a, f (-b/2a)
In this case:
y=x²-20x+15
-b/2a=20/2=10
f (10) = 10²-20 (10) + 15=100-200+15=-85
Answer: The vertex is (10,-85)
Given a vertex (h, k), the vertex form is:
y=a (x-h) ²+k
In this case:
(10,-85)
a=1
y = (x-10) ²-85
Answer: y = (x-10) ²-85
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