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3 years ago

What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

Answer:

Step-by-step explanation:

Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.

original function x.

1. (x-7): horizontal shift of 7 units to the right.

2. 1/3(x-7): Horizontal stretching by factor 1/3.

3.-1/3(x-7): Reflection with respect the x-axis

4.-1/3(x-7)+2: Vertical shift of two units up.

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Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

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Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

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To overflow the bucket, the volume of ice melted must be more than the bucket volume.

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See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

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from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

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