Answer:
we know that if: (x, y) is a point of f(x):
This means that f(x) = y.
Then (x + 3, y + 1) is a point of g(x)
This means that:
g(x + 3) = y + 1
Then we have two shifts.
For a real and positive number A.
A horizontal shift of A units to the right can be written as:
f(x - A)
A vertical shift of A units up can be written as:
f(x) + A.
Then in this case we have:
An horiozontal shift of 3 units to the right, and a vertical shift of 1 unit up, this means that:
g(x') = f(x' - 3) + 1.
then evaluating this at x' = x + 3
g(x + 3) = f(x + 3 - 3) + 1 = f(x) + 1 = y + 1
That is what we had initially.
Answer:
Option C. is nonlinear.
There is no specified degree in option C's equation, so it is impossible for it to be a linear equation.
Step-by-step explanation:


I think this is correct and what you wanted
Hey Jackson!
-4x + 3y = 3
y = 2x + 1
Ok so what we need to do is solving y= 2x + 1 for y.
So let's start by using the substitution method :)
Substitute 2x + 1 for y in -4x + 3y = 3
-4x+ 3y = 3
-4x + 3(2x + 1) = 3
-4x + (3)(2x) + (3)(1) = 3
-4x + 6x + 3 = 3
2x + 3 = 3
Subtract 3 on both sides
2x + 3 - 3 = 3 - 3
2x = 0
x = 0/2
x = 0
So now since we find the number for x, we gonna use it to help us find the value for y.
To find y, we need to substitute 0 for x in y = 2x + 1
y = 2x + 1
y = 2(0) + 1
y = 0 + 1
y = 1
Thus,
The answer is: y = 1 and x = 0
How to graph?
You need to go on the thing where they put the numbers. y is located on top which has the positive numbers. So when you get there, make a line that comes from the top right side all the way to the bottom left sides. Remember that y = 1 so the line must pass through 1
I am not good with explanation. So I'll leave the graph down below then you'll see what I am talking about :)
Let me know if you have any questions. As always, it is my pleasure to help students like you!
A . y = 2(18 + x)
b. y = (8 + x)(10 + x)
or y = x^2 + 80 + 18x