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lindseyharrison
 2 years ago
What is the range of the graph of y = (x  4)^2 + 3
lindseyharrison
 2 years ago
What is the range of the graph of y = (x  4)^2 + 3

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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1Hint: In general, the range of y = a(xh)^2+k is [k, infinity) if a > 0

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1close, it should be \[\Large y \ge 3\]

lindseyharrison
 2 years ago
Best ResponseYou've already chosen the best response.1What about this.... 4x^2 + 13x = 3

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1You need to complete the square. Do you know how do to that?

lindseyharrison
 2 years ago
Best ResponseYou've already chosen the best response.1So the answer would be x = 1/4 and x = 3

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you're looking for the range correct?

lindseyharrison
 2 years ago
Best ResponseYou've already chosen the best response.1No just solving the equation

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1oh sry, I thought you were finding the range

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.14x^2 + 13x = 3 4x^2 + 13x + 3 = 0 Now use the quadratic formula to solve for x x = (b+sqrt(b^24ac))/(2a) x = ((13)+sqrt((13)^24(4)(3)))/(2(4)) x = (13+sqrt(169(48)))/(8) x = (13+sqrt(121))/8 x = (13+sqrt(121))/8 or x = (13sqrt(121))/8 x = (13+11)/8 or x = (1311)/8 x = 2/8 or x = 24/8 x = 1/4 or x = 3 So you are correct, nice job

lindseyharrison
 2 years ago
Best ResponseYou've already chosen the best response.1Thank you thank you! :)
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