Answer:
The only difference is that for any positive value of 'x' g(X) and h(X) will be same and for any negative value of 'x' g(x) and h(x) will be different.
Step-by-step explanation:
Given


|x| is modulus of x so modulus makes negative value as psoitive
for example


now we will solve for the above
For 

and

Now for 

and

so for positive value it is same and for negative value it is different
Third length =
12-7 = 5
12+7 = 19
Third length can be only in this range
5Means the third length must be greater than 5 and less than 19.
Hope this helps!
Answer:
h is the horizontal shift
Step-by-step explanation:
y = a(x – h)^2 + k
This is the equation for a parabola in vertex form
The vertex is ( h,k) and it is shifted from (0,0)
h is the horizontal shift and k is the vertical shift
Answer:
x=-4
x=4
Step-by-step explanation:
We can factor x^2 -16 = 0 by recognizing that it is a difference of squares. That means we can factor the equation to (x-4)(x+4) = 0. By using the Zero Product Property we know that either (x-4) or (x+4) is equal to 0. That means that x either equals -4 or 4.