If you are given the graph of h(x)=log6x. how could you graph m(x)=log6(x+3)
2 answers:
We have been given the function
Now, we can see that in the transformed function , we have added 3 in the x.
Whenever we add/subtract some constant in the x, then the function gets translated to either left or right.
We know that if f(x) is a parent function and if we add a constant c then the function gets shift to c unit left.
Therefore, the given graph will get shifted 3 units left.
D is the correct option.
Translate each point of the graph of h(x) 3 units left.
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Answer:
The other end point is: s+ti = 3+9i
Step-by-step explanation:
Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints.
It is given by:
Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i
Find the other endpoints.
Let a + bi = -5 -7i and let other endpoint s + ti (i represents imaginary )
Here, a = -5 and b = -7 to find s and t.
then;
[Apply Mid-point formula]
On comparing both sides
we get;
and
To solve for s:
or
-2 = -5+s
Add 5 to both side we have;
-2+5 = -5+s+5
Simplify:
3 = s or
s =3
Now, to solve for t;
2 =-7+t
Add 7 to both sides we get;
2+7 = -7+t+7
Simplify:
9 = t
or
t =9
Therefore, the other end point (s+ti) is, 3+9i