Question

f(x) = 4|x + 1| - 6
What is the vertex of the graph of f(x)?
(-1, -6)
(1, -6)
(4, -6)<==My answer

Answer 1

hint: in general

y = a|x-h| + k

has the vertex (h,k)

Answer 2

and it may help to think of x+1 as x - (-1)

Answer 3

So (4,-6) is right?

Answer 4

f(x) = 4|x + 1| - 6

y = 4|x + 1| - 6

y = 4|x - (-1)| - 6

What are 'a', h and k?

Answer 5

a= 4, h= 1, -(-1), k=-6

Answer 6

h = -1 actually

Answer 7

if we had |x-1|, then h = 1

but we have |x-(-1)| instead, so that's why h = -1

Answer 8

The vertex is (h,k), so because h = -1, k = -6, the vertex is (-1,-6)

Answer 9

okay that makes sense! THanks!

Answer 10

I'm glad it does, yw