A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. What is
1 answer:
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Answer:
b.g(x)=+3
Step-by-step explanation:
If two graphs have the same shape and you only want to change one's y intercept, you just have to add or subtract the number at which you want the graph to intercept the y axis from the equation
Answer:
We are have the function f(x).
Part 1: It is given that the function f(x) is transformed to f(x)+2.
This gives us that the function is translated 2 units upwards.
As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.
Translation does not change the behavior of the function.
So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.
Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.
Part 2: It is given that the function f(x) is transformed to
This gives us that the function is shrinked vertically by a factor of followed by a reflection across x-axis.
Also, the y-intercept of is .
The graph of f(x) after changing to will flip over the x-axis.
So, the function will increase or decrease when f(x) decrease or increase respectively.
Moreover, will be even if f(x) is even or odd respectively.