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, ∞)
Parallel line means having the SAME slope
so the slope of a line parallel to the given line is 2
plug in the given point and slope of 2 into point slope form
y+1 = 2 (x+4)
solve for slope intercept form
y+1 = 2x + 8
y = 2x + 7
answer: y=2x+7
28 = k - 12
28 + 12 = k
40 = k
Both the numerator and denominator are cubes: (3^3)/(4^3). because they are both to the power of 3, this can be simplified to (3/4)^3, ie x = (3/4)
Answer:
57120
Step-by-step explanation:
17x16x15x14
