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scoundrel [369]
3 years ago
13

What transformation has changed the parent function f(x) = log4 x to its new appearance shown in the graph below?

Mathematics
1 answer:
torisob [31]3 years ago
4 0

We know the graph of the parent function will pass through the point (1, 0). If that is the point that is transformed, it is shifted 5 to the left and 5 up. The appropriate choice is

... f(x + 5) + 5


_____

The graph has an infinite number of points, any one of which can be transformed to the given point. There are an infinite number of transformations that will satisfy the problem requirements. However, only one of those listed will do so.

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An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length 1/4
Semmy [17]

Answer:

The answer is below

Step-by-step explanation:

The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.

Firstly we have to convert the model length and width from inches to feet.

1 feet = 12 inches

model length =  1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.

model width =  1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.

Therefore:

Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8

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Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²

Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²

Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64

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