Question

What is the vertex?? Please answer QUICK!

Answer 1

Answer:

D

Step-by-step explanation:

To obtain vertex form from the given equation use the method of completing the square

given 8y + x² = - y² - 181 + 26x

rearrange having the x terms and y terms together

add y² to both sides

8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )

x² - 26x + y² + 8y = - 181

add (half the coefficient of the x/y terms )² to both sides

x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16

completing the square on both the x and y terms

(x - 13)² + (y + 4)² = 4 → D