Answer:
(-5,-8)
Step-by-step explanation:
Given in the question an equation,
x² + 10x = - 17
x² + 10x + 17 = 0
here a = 1
b = 10
c = 17
Step 1
Find the value of x using the formula
x = -b/2a
x = -10/2
x = -5
Step 2
Find the value of y by plugging x = -5 in the equation above
(-5)² + 10(-5) + 17 = y
25 - 50 + 17 = y
y = -8
vertex (h,k) = (-5,-8)
