The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up ⇒ 2nd answer
horizontal translation 5 units left ⇒ 4th answer
Step-by-step explanation:
Let us revise the translation:
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ f(x) = 8x
∵ g(x) = (8x + 5) + 1
- From the notes above translation to the left h units added x by h
∵ 8x is added by 5
∴ f(x) translated 5 units to the left
- From the notes above translation up k units added f(x) by k
∵ f(x) is added by 1
∴ f(x) translated 1 unit up
The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up
horizontal translation 5 units left
Learn more:
You can learn more about translation in brainly.com/question/2451812
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Answer: it’s C. ST
Step-by-step explanation:
Because it’s in the same order as the others it should be C. ST
Your answer would be choice 3, because when all points of a line lie in a plane, the plain contains the line so the line can contain all of the points. Hope this helped. ;)
Answer:
4/5 cup
Step-by-step explanation:
Hi.
First, what you would want to do is to find the total amount of the liquid before anything evaporated.
2/5 + 2/3
Find a common denominator
6/15 + 10 / 15 = 16/15
Now you know that 16/15 cups is how much broth there was before anything evaporated. Now you want to find out how much broth there was after 1/4 cup evaporated.
To find this, multiply 16/15 × 1/4
You will get 4/15
Lastly, you want to subtract the amount evaporated from the amount that was already there.
16/15 - 4/15 = 12/15 = 4/5 cup