Question

Question #30929

Answer 1

See the answer below...

Explanation:

`y=color(red)(2x^2)+color(blue)(ax)+color(lightgreen)(14)" "...(1)`

`y=2(x-3)^2+b" "`
`=>y=2(x^2-6x+9)+b`
`=>y=2x^2-12x+18+b`
`=>y=color(red)(2x^2)color(blue)(-12x)color(lightgreen)(+(18+b))" "...(2)`

Comparing `(1)` and `(2)`,we get

`a=-12` `" ; "` `18+b=14=>b=(-4)`

Hope it helps...
Thank you...

Answer 2

`a=-12" and "b=-4`

Explanation:

`"expanding "y=2(x-3)^2+b`

`rArry=2(x^2-6x+9)+b`

`rArry=2x^2-12x+18+b`

`" and "y=2x^2+ax+14`

`"comparing coefficients of like terms"`

`rArra=-12 and "18+b=14rArrb=-4`