Question

Can i have some asap asap help?
thanks

Answer 1

• y=2x²-10x+11
• y=2x²-10x+12.5+11-12.5
• y=2(x²-5x+6.25)+11-12.5
• y=2(x-2.5)²-1.5

Compare to vertex form of parabola

• y=a(x-h)²+k

Vertex at (2.5,-1.5)

Answer 2

`y=2(x-2.5)^2-1.5`

Explanation:

`y=2x^2-10x+11`

Factor highest common numerical factor of the first two terms:

`y=2(x^2-5x)+11`

Add
`((-5)/(2))^2` inside the parentheses and subtract
`2((-5)/(2))^2`:

`y=2(x^2-5x+6.25)+11-12.5`

`y=2(x^2-5x+6.25)-1.5`

Factor parentheses:

`y=2(x-2.5)^2-1.5`