Question

Complete the statements below that show y = x2 + 2x - 1 being converted to vertex form. Form a perfect-square trinomial. y = x2 + 2x +blank− 1− blank.

the blanks are the answers needed.

Answer 1

y=x2+2x+1-1-1 They want me write 20 characters to answer your question, lets see if this works.

Answer 2

Solution: The needed answer for first blank is 1 and the needed a for second blank is 1.

Step-by-step explanation:

The given equation is
`y=x^2+2x-1`.

The form of perfect square is
`(x+y)^2=x^2+2xy+y^2`.

The given equation can be written as
`y=(x^2+2x)-1`.

To make the perfect square we can add or subtract
`((b)/(2a))^2` in the given equation. Where, a is coefficient of
`x^2` and b is coefficient of x. In the parenthesis the coefficient of
`x^2` is 1 and coefficient of x is 2.

`((b)/(2a))^2=((2)/(2(1)))^2=1`

So, the given equation is written as
`y=(x^2+2x+1)-1-1`

`y=(x+1)^2-2`

Therefore, the needed answer for first blank is 1 and the needed a for second blank is 1.