PLEASE HELP ASAP!!! CORRECT ANSWERS FOR BOTH PART 1 AND 2 ONLY PLEASE!!!

Mathematics

1 answer:

professor190 [17]2 years ago

8 0

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, ∞)

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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x rep

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Answer:

Step-by-step explanation:

We are given two points. Let the points be A and B

A ( 8 , -2 ) ------> ( x1 , y1 )

B ( 12 , 4 ) ------> ( x2 , y2 )

Now, let's find the slope of the given points:

$slope \: = \frac{y2 - y1}{x2 - x1}$

plug the values

$= \frac{4 - ( -2)}{12 - 8}$

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