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anonymous
 one year ago
Rewrite the equation y = 3x^2 + 6x + 2 in the alternate form and state the vertex point.
anonymous
 one year ago
Rewrite the equation y = 3x^2 + 6x + 2 in the alternate form and state the vertex point.

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1do you see how y = 3x^2 + 6x + 2 is in the form y = ax^2 + bx + c ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now plug the values of a,b into h = b/(2a) what is the value of h?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now plug that value in for x to find y y = 3x^2 + 6x + 2 y = 3(1)^2 + 6(1) + 2 y = ???

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we have a = 3, h = 1 and k = 1 plug those into y = a(xh)^2 + k

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1where are you getting x = 6 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh thought x = 6 from the problem. Dont know what x is.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x is just a variable to be left alone really

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what did you get when you plugged those values into y = a(xh)^2 + k

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1don't replace x though

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh keep x as just x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So is this right? y  3(x  (1)^2 +  1 . I think I set it up wrong.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if you simplified that, you'd get what?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does the 3 go with the things inside the ( )

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442024648925:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442024665299:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442024695181:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I think you were asking if 3 goes inside the parenthesis? or were you asking if the 3 was being multiplied with the (xh)^2 term?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah does the 3 multiply with that?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes the 3 and \(\Large (x(1))^2\) are being multiplied it's like saying `3x` is the same as `3 times x`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what does `x(1)` simplify to?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03x  (3)^2  (1) ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if you subtract a negative, what are you really doing?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah adding so `x(1)` is the same as `x+1`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1making \[\Large y=3(x(1))^2+(1)\] turn into \[\Large y=3(x+1)^21\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1What would be the vertex here?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am not really sure.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you put everything together?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1well the general vertex form equation \[\Large y = a(xh)^2 + k\] has the vertex `(h,k)`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1well recall that h = 1 and k = 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh thats not the vertex?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1no but you're close

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I do not get how to find it.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it's (1,1) you start with (h,k) and replace h and k with the values we got earlier

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1h = b/(2a) = 1 after plugging in a and b k = 1 after plugging x = 1 into the original equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see where it came from.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is the vertex (1, 1) or is that used to find the vertex?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that is the vertex as you can see on this graph, it's the lowest point or the min point https://www.desmos.com/calculator/idhk1vx8ar

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay and then y = 3(x + 1)^2  1 is the equation rewritten?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0in the alternate form*

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's vertex form, yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay thanks for your help. I am very slow in math as anyone can tell.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're doing fine
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