Question

y= 2x² + 36x + 170
(Find the vertex, show steps)

Answer 1

This is the answer. Hope it helps!

Answer 2

y=2(x²+18x+85)
Find the vertex of x²+18x+85

This is written of the form ax²+bx+c

a=1, b=18, c=85

The axis of symmetry is -b/2a
The axis of symmetry is the x term of your vertex (h,k)

So we have

h=-(18)/2

h=-9

k=f(-9) given that f(x) is x²+18x+85

(-9)²+18(-9)+85

81-162+85

-81+85

4

So your k value is 4

So because you’re vertex is (h,k) and since we found that h=-9 and k=4, your vertex is (-9,4)