Question

what is the vertex of the graph of the function y=|-3x+2|-4
Options
A-(-2/3,-4)
B-(2/3,-4
C-(2/3,4)
D-(-2/3,4)
PLEASE SHOW WORK
PLEASE HELP ME

Answer 1

y = |-3x+2|-4

y = |-3(x-2/3)|-4 ... factor out -3, we want x to have a coefficient of 1

y = |-3|*|x-2/3|-4

y = 3|x-2/3|-4

The equation is now in the form y = a|x-h| + k

The vertex of y = a|x-h| + k is (h,k)

See what to do next?

Answer 2

i dont kno because i never learned this that is y im asking for help

Answer 3

compare

y = a|x-h| + k

with

y = 3|x-2/3|-4


Notice how a = 3

What is the value of h?

What is the value of k?

Answer 4

k is -4 and h is -2/3

Answer 5

close, k = -4 is correct

Answer 6

but h is positive

Answer 7

x-h
x-2/3

so h = 2/3

Answer 8

The vertex is then (h,k)

So the vertex in this case is (2/3, -4)

Answer 9

ok i get it now

Answer 10

ok great