Given equation is 
.
Now we need to find about what are the key aspects of the graph of , where b is a real number.
We know that square of any number is always positive.
then 
must be a positive number.
So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by units as compared to the graph of parent function 
The way to find the difference between 5y - 3 you have to first do the inverse operation of multiplication which is division.
5y - 3
__ __
5 5
y - 0.6
1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2
<u>Step-by-step explanation:</u>
f(x) = √x
g(x) = 2√x + 3
- adding 3 is a vertical shift up 3 units
- multiplying by 2 is a vertical stretch by factor of 2
2. Answer: Domain: [0, ∞)
Range: [3, ∞)
<u>Step-by-step explanation:</u>
g(x) = 2√x + 3
Domain: The restriction on "x" is that the radical must be greater than or equal to 0. So, x ≥ 0 Interval Notation: [0, ∞)
Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0. Add 3 to that and y ≥ 3. Interval Notation: [3, ∞)
Answer:
Your answer would be C. x2 + y2 − 4x − 4y + 23 = 0
Step-by-step explanation:
I did this question before. Hope it helps! :D
