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Diana
 5 years ago
Turn 7y4=8x^224x into the form y=a(xh)^2+k to solve a parabola and its vertex, focus, directrix, and the axis of symmetry.
Diana
 5 years ago
Turn 7y4=8x^224x into the form y=a(xh)^2+k to solve a parabola and its vertex, focus, directrix, and the axis of symmetry.

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Diana
 5 years ago
Best ResponseYou've already chosen the best response.0good, just a lil stressed trying to find the solution to this problem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so we want to get the right side looking like a(xh)^2

Diana
 5 years ago
Best ResponseYou've already chosen the best response.0yep, i was thinking to add 4 to both sides and then factor out an 8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, that works, 7y = 8 (x^2  3x) + 4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so to end up with the 3x term, we are going to need (x3/2)^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but (x3/2)^2 = x^2 3x + 9/4, so we have to subtract that 9/4 from the right side of the equation since we added it to "complete the square"

Diana
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so then it would be 7y  9/4 = 8 (x  3/2)^2 +4 so i wouldn't need to add the 4 on both sides in the first place?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, we added 9/4 to the right side, so we need to add it to the left side (or subtract it to the right)

Diana
 5 years ago
Best ResponseYou've already chosen the best response.0oh, sorry i meant + 7y + 9/4 = 8 (x  3/2)^2 +4 7y = 8 (x  3/2)^2 + 7/4 so it would end up like that?

Diana
 5 years ago
Best ResponseYou've already chosen the best response.0then we would divide it by 7 on both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i'm sorry, i made a mistake we actually added 8*9/4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so instead of 9/4 added to the left side, it would be 8(9/4) = 18

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0because we didn't just add 9/4, we added 9/4 inside of parentheses multiplied by 8

Diana
 5 years ago
Best ResponseYou've already chosen the best response.0okay so then it would be 7y = 8 (x  3/2)^2  14 ?

Diana
 5 years ago
Best ResponseYou've already chosen the best response.0final thing is gonna be y = 8 (x  3/2)^2  2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0don't forget to divide the 8 by 7

Diana
 5 years ago
Best ResponseYou've already chosen the best response.0opps my bad y = 8/7 (x  3/2)^2  2 thanks so much
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