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Answer:
Step-by-step explanation:
Notice that the red graph is the blue graph shifted 1 units up.
According to the function transformation rules, we add to the output of the function to shift its graph
units up, and we subtract
to the output of the function to shift its graph
units down.
The output of our function is , and since we want to shift 1 units up,
. In other words, we just need to add 1 to the output of the function:
We can conclude that the equation of the red graph is .
Answer:
Triangle A:
- smaller leg = 3
- longer leg = 10
- hypotenuse = 10.4
Traingle B:
- smaller leg = 4
- longer leg = 13
- hypotenuse = 13.6
Triangle C:
- smaller leg = 5
- longer leg = 7
- hypotenuse = 8.6
Step-by-step explanation:
Let's find the distance of the legs for the 3 right triangles.
<u>Triangle A</u>
The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:
Hence, the lenght of the smaller leg is 3.
The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:
Then, the length of the longer leg is 10.
Now, we can find the hypotenuse (H) by using Pitagoras:
<u>Triangle B</u>
The SL is from (3, -9) to (7, -9)
The length of the SL is:
The LL is from (7, -9) to (7, 4)
The length of the LL is:
The hypotenuse is:
<u>Triangle C</u>
The SL is from (-10, -6) to (-10, -1)
The length of the SL is:
The LL is from (-10, -6) to (-3, -6)
The length of the LL is:
The hypotenuse is:
I hope it helps you!