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3 years ago

HELP WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

wlad13 [49]3 years ago

4 0

Answer:

B., E.

Step-by-step explanation:

what was the difficulty ? this is just to understand the movement of a thrown rock.

what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.

that is what the graphic shows.

so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).

can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.

can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.

can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.

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the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and s

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Using translation concepts, it is found that the equation of the resulting graph is given by:

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<h3>What is a translation?</h3>

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 parent function is given by:

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The transformations are as follows:

Shift down of 3 units, hence $y = \cos{x} - 3$ .

Shrink horizontally by a fourth of a unit, hence $y = \cos{(4x)} - 3$ .

Inverted horizontally, hence $y = \cos{-4x} - 3 = \cos{(4x)} - 3$ , as the cosine function is even.

Shifted 60° to the left, hence $y = \cos{(4x - 60^\circ)} - 3$

Amplitude of 5 units, hence the function is multiplied by 5/2 = 2.5, that is, $y = 2.5(\cos{(4x - 60^\circ)} - 3)$ .

More can be learned about translation concepts at brainly.com/question/4521517

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The more longer answer would look something like this
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