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.

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 $(\frac{b}{2a})^2$ 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.

$(\frac{b}{2a})^2=(\frac{2}{2(1)})^2=1$

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.