Hello,
y=x²-x-2=x²-2*1/2*x+1/4-2-1/4=(x-1/2)²-9/4
1. Vertex=(1/2,-9/4)
2. if x=0 then y=0²-0-2=-2
3.The roots:
x²-x-2=0
==>(x-1/2)²-9/4=0
==>(x-1/2-3/2)(x-1/2+3/2)=0
==>(x-2)(x+1)=0
x=2 or x=-1
4. axe of symmetry: x=1/2
Answer:
The graph of
is related to the parent function
.
Step-by-step explanation:
we are given a function as:

We are asked to find a parent function among the given options which is related to the given function.
the graph of the given function has a parent function as:

as the given function is just a shift of the graph of parent function p(x).
It is a shift of the graph p(x) '4 units' upward.
we could also see from the graph attached to the answer.
15 = 1*15 = 3*5
36= 1*36 = 2*18 = 3*12 = 4*9 = 6*6
Because only two whole number factor pairs make up 15, there are only two possible rectangles with whole number side lengths.
Because only five whole number factor pairs make up 36, there are only five possible rectangles with whole number side lengths.
1. common denominator is 4
2. common denominator is 2
3. common denominator is 3
4. common denominator is 2