Whats the answer? A, B, C, or D??
2 answers:
Answer:
D
Step-by-step explanation:
This triangle is a 45-45-90 triangle, which is a special triangle! Ooh! That means we already know that the ratio of its sides is , x, and x, with the legs = x and the hypotenuse =
.
We have the hypotenuse as 8, so plug it in:
8 =
8/ = x
Multiply both the top and bottom of that fraction by to get
8 /
=
8 / 2 = 4
x = 4, so v and u = 4
!
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Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
To shift vertically n units, we can simply add n to our function. Hence:
So, a vertical shift of 5 units up implies that n=5. So:
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
Or:
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.