To convert the given equation y = x^2 + 6x - 9 into vertex form, we need to complete the square.
We can do this by taking the coefficient of x, which is 6, dividing it by 2 (giving us 3), and then squaring it (giving us 9). We then add and subtract this value within the equation.
y = x^2 + 6x - 9
= (x^2 + 6x + 9) - 9 - 9
= (x^2 + 6x + 9) - 18
= (x + 3)^2 - 18
Therefore, the correct vertex form of the equation is y = (x + 3)^2 - 18.
Select the correct vertex form of the following equation. show all your work
y=x2+6x−9
answer : y=(x−3)2−4
1 answer