Answer:
The correct option is the last one.
Step-by-step explanation:
To transform the graph of
into
the following steps are fulfilled:
1) Move the graph 2 units to the right:
Let
then
Notice that the cut point has been moved to x = 2.
2) Reflect on the x axis:
To reflect a graph on the x-axis we do
Then ![f (x) = -(x-2) ^ 2](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%20-%28x-2%29%20%5E%202)
3) Stretch according to factor 2.
For this we do ![y = 2f(x)](https://tex.z-dn.net/?f=y%20%3D%202f%28x%29)
Then we have
4) Move up the graph in two units:
We do ![y = f(x) +2](https://tex.z-dn.net/?f=y%20%3D%20f%28x%29%20%2B2)
Then ![y = -2(x-2) ^ 2 +2.](https://tex.z-dn.net/?f=y%20%3D%20-2%28x-2%29%20%5E%202%20%2B2.)
These steps coincide with those listed in the last option. Therefore the correct option is the last one.
"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"
Always use PEMDAS as a key. Peretheses, Exponents, Multiplication, Division, Addition, and then Subtraction.
5 units because your starting from (-2,-2) so the last -2 will stay and the first number(-2) will go up until you hit the (,3) which will be 5 units away
Answer: 30 buttons
Step-by-step explanation:
If there were 8 kids, and 7 more joined, then there were 15 kids making snowmen (8+7 = 15). Each child used 2 buttons for the eyes, so 30 buttons were used (15 x2 = 30). This is assuming no other buttons were used on the snowmen for anything else