Describe the transformations necessary to transform the graph of f(x) into that of g(x).
1 answer:
Using translation concepts, it is found that the necessary transformations are given as follows:
- Reflection over the y-axis.
- Horizontal stretch by a factor of 2.
- Shift left 3 units.
- Reflection over the x-axis.
- Shift down 1 unit.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The original function f(x) is given by:
The transformations are as follows:
- For the values of x, the function was multiplied by -1/2 and then 3 was added. Thus it was reflected over the y-axis, horizontally stretched by a factor of 2 and shifted left 3 units.
- Outside the domain, in the values of y, the function was multiplied by -1 and then subtracted by 1, hence it was reflected over the x-axis and shifted down one unit.
More can be learned about translation concepts at brainly.com/question/4521517
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It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet
The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.
In an hour there are 3600 seconds, then in 0.000114583 hours will be:
It will take 0.4 seconds to get to the home plate.
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