Question

f(x) = (x+5)^2 + (x-9)^2

how is this written in standard form... ?

Answer 1

I would expand and collect like terms

f(x) = x^2 + 10x + 25 + x^2 - 18x + 81

thats the expansion

Answer 2

so im getting 2x^2 - 8x +106

Answer 3

looks correct to me

Answer 4

it doesnt work though.... yet i can tell that it is standard..

Answer 5

well make it monic.... divide by 2

Answer 6

or f(x) = 2(x^2 - 4x + 53)

Answer 7

standard for is\[ f(x) = a(x -h)^2 + k\]

\[ = 2((x -2)^2 + 49)\]

or \[ f(x) = 2(x -2)^2 + 98\]