a . Rewrite the function in f ( x ) = a ( x − h ) 2 + k form b . Graph it by using transformations. f ( x ) = − 2 x 2 + 8 x − 7

Answer 1

-2x^2 + 8x - 7

-2(x^2 - 4x) - 7 <--- factors out -2

-2( x^2 - 4x + 4) - 7 - 8 <--- completing of the square

-2(x^2 - 4x + 4) - 15 <--- combines like terms

-2(x - 2)^2 - 15 <--- factors

vertex at (2,15)