Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
7 - 2 (7) -8
7 - 14 - 8
7-14= -7
-7 - 8 = - 15
May have messed this one up
Answer:
One.
Step-by-step explanation:
The reason why is because 12-5 = 7, meaning that your lowest length has to be 7. meaning, that you can only do one triangle.
Answer:
D) y = 27 · (3)^x
Step-by-step explanation:
Replace x with the x values.
27 · (3)^-2 = 27 · 1/9 = 3
27 · (3)^-1 = 27 · 1/3 = 9
27 · (3)^0 = 27 · 1 = 27
27 · (3)^1 = 27 · 3 = 81
17 · (3)^2 = 27 · 9 = 243
D is your answer.
Hope this helps