Using translation concepts, it is found that the transformations are as follows:
- In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.
- In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.
<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.
In y = -f(x÷2)-5, we have that:
- f(x) is multiplied by -1, hence it was reflected over the x-axis.
- x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.
- 5 is subtracted from f(x), hence the function was shifted 5 units down.
In y = f(-x) + 5, we have that:
- x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.
- 5 is added to f(x), hence the function was shifted 5 units up.
More can be learned about translation concepts at brainly.com/question/4521517
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162 is eighty-one percent of 200
Answer:
Step-by-step explanation: ok so they sold 9 book marks for every 2 books right?
so you would put 72 over nine like a fraction, then you would put 2 over X like another fraction.
Then cross multiply. 72*x=72x
9*2=18
72 divided by 18 = 40
I hope this helps
Roxanna will have to wash 8 driveways giving her a total of $62 to go towards her new video game. She’ll have $3 left over.
Answer:
408 bags of dog food
Step-by-step explanation:
The question asks for the total bags of dog food. Because they give you two existing values expressing how much dog food of each type there is, all you must do is add them together. 145 + 263 = 408
