Question

What is the vertex of the graph g(x)= |x-9| - 3 ?

a) (-9,3)
b) (-3,-9)
c) (9,-3)
d) (9,3)

Answer 1

I I <- Those lines mean absolute value. So, this means that it is how many numbers away from 0 on a line graph. Thus, it being -9 it is 9 places from zero. Then, if you keep the negative 3 your final answer would be C

Answer 2

we are given the function g(x) = |x-9| - 3. we can equate g(x) to y, that is y + 3  = |x-9|. We square both sides to eliminate the absolute notation that is (y+3)^2 = x-9. The general formula of parabola is (y-k)^2 = x - h so the vertex should be at point (9,-3).