Answer:
Step-by-step explanation:
Starting with the parent function, x was replaced by (x + 5), indicating that the graph of the new function is that of the old function shifted 5 units to the LEFT. That +2 shifts this result UP by 2 units.
Answer:
y = x² - 10x + 41
Step-by-step explanation:
The standard form of a quadratic is ax² + bx + c : a ≠ 0
Given
y = (x - 5)² + 16 ← expand (x - 5)²
= x² - 10x + 25 + 16
= x² - 10x + 41 ← in standard form
Easy peasy
the midpoint between

and

is

just average them
so given that (3,5) is the midpoint of (-4,5) and (x,y)

so by logic

and

times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5
the coordinate of point C is (10,5)
the x coordinate is 10
Answer: fx-2 i believe since translating down would subtract two
Step-by-step explanation:
Answer:

Step-by-step explanation:
First, subtract 3 from x
This will get you the expression x - 3
Now, divide this by 6.
This will get you the expression 
So, the final expression from the steps is 