The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
Read more about function transformation at:
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Answer: 32
Step-by-step explanation:
Given: The energy needed for 1 hour of running for an adult 
Therefore. the energy needed for seven hours of running=
Since, he energy released by metabolism of 1 average candy bar 
Therefore, the number of candy bars an adult need to eat to supply the energy needed for seven hours of running.=
Hence, the adult need to eat 32 candies to supply the energy needed for seven hours of running.
First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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660 ft/min equals 11 ft/sec
