The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation
maps onto
. Take f(x) =
and f(x+4)=
.
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
f(x+4)=![\sqrt[3]{x+4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D)
f(x+4) - 3=
- 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
Learn more about parent function here
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Answer:
b part is the correct answer
Answer:
x = 10
, y = 10
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° =
, cos60° =
, then
sin60° =
=
=
( cross- multiply )
2x = 20
( divide both sides by 2 )
x = 10
and
cos60° =
=
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
Answer:
80 lemons
Step-by-step explanation:
Let x represent the amount of lemons that were on the tree.
We can use this to set up an equation:

Note that percentages can also be written as that number over 100.

Simplify the fraction.

Multiply both sides by 5

Divide both sides by 2

There were 80 lemons on the tree before he picked the lemons.