Answer:
You can visualize this easily.
y=f(x+h)
Now if the argument of the function is taken as (x−h) the value of y will be f((x−h)+h)=f(x)
The function y acquires the value of f(x) at (x−h) amounting to a left shift.
Hope this makes things clear.
Step-by-step explanation:
The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.
Let's say we had the expression 
The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.
The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so

With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.
Find the change in the y coordinates
7-5=2
Find the change in the x coordinates
1--3 or 1+3= 4
Divide the changes in the y and x coordinates
2/4= 1/2
The slope is 1/2. Hope this helps!
Answer:
x=29 y=90
Step-by-step explanation:
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = 
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = 
= 
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ±
= ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3