The answer is both a and b, but I think you meant to switch the greater/less signs, so then it would be x > 0.
Answer:

Step-by-step explanation:
We're trying to make the coefficient of
1, so that we can have x is equal to something.
We'll find the required number:

We'll check this works:
.
You would subtract 4 from both sides. Then it would be 3n = 3. You would then divide each side by 3. The answer you would get is n = 1.
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5

Therefore, Option (2) will be the vertex form.
Answer: The last option, Stacy is incorrect because she should multiply 2 and 2 first and then subtract 4 from 12.
Step-by-step explanation:
We must follow the Order of Operations, also known as PEMDAS. See attached. Multiplication comes before subtraction, but Stacy subtracted 2 from 12 when she should have multiplied 2 by 2. This means the answer to your question is;
Stacy is incorrect because she should multiply 2 and 2 first and then subtract 4 from 12.