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anonymous
 4 years ago
Find a quadratic function to model the values in the table. Predict the value of y for x = 4.
XY
13
02
335
anonymous
 4 years ago
Find a quadratic function to model the values in the table. Predict the value of y for x = 4. XY 13 02 335

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the constant must be \(2\) so you have \[y=ax^2+bx2\] as a start now we can set up a couple equations in \(a\) and \(b\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0let \(x=1\) you get \[ab2=3\] or\[ab=1\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0let \(x=3\) you get \[9a+3b2=35\] or \[9a+3b=33\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0solve the system \[ab=1\]\[9a+3b=33\] to get your answer

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0multiply first equation by 3, add it to the second get \[12a=36\] so \(a=3\) therefore \(b=2\) and you get \[y=3x^22b2\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oops \[y=3a^22x2\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so it would be y=3a^22x2;58

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes for the first one

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it would be \[y=3x^22x2\] with an \(x\) not an \(a\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thanks so much. i've been working on this thing all weekend....

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait so 4 is going to be 56?
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