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1 answer:
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Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
Answer:
<u>Step-by-step explanation:</u>
Perimeter is the sum of the sides.
The length of AB is 3. The length of AC is 6. The length of BC can be found by using the Pythagorean Theorem: a² + b² = c²
3² + 6² = BC²
9 + 36 = BC²
45 = BC²
√45 = BC
3√5 = BC
Perimeter = AB + AC + BC
= 3 + 6 + 3√5
= 9 + 3√5