Answer:
12 to 8, 6 to 4
Step-by-step explanation:
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: 1:3
Step-by-step explanation: for 4 toads you have 12 frogs so the ratio is 4 to 12. But you can simplif, divide each side by 4 so it’s 1 to 3
16 is a rational number, this is because it is a full whole number, it can be a fraction or a ratio, for this reason we know 16 has to be rational
