Ok, so we see in
y=a(x-h)^2+k
vertex is (h,k)
vertex is highest or lowest point
on one side, it goes up and other side it goes down
if a is positive, then it goes down then up
if a is negative, it goes up then down
we see
f(x)=2(x+3)^2+2
2 is positive
goes down then up
vertex is (-3,2)
so decreases from -infinity to -3 or ininterval
(-infinity,-3)
answer is first option
Anwers:
1. line A
2. line D
3. line B
4. line C
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the original function:
f(x) = 10x
and g(x) = a · 10x is the general from of all transformed functions from the above original function.
The graph of this function is stretched vertically => line A
The graph of this function is stretched vertically and is reflected through the x-asix => line D.
The graph of this function is compressed vertically => line B
The graph of this function is compressed vertically and is reflected through the x-asix => line C
Hope it will find you well.
Answer: 4=40 ! Its a pattern
2. Using the external angle of a triangle theorem.
6x - 17 = 3x - 11 + 2x + 11
6x - 5x = 17
x = 17
So m angle K = 2(17) + 11
= 45 degrees answer
3. The diagonals are both medians of the triangle so the 2 parts are in the ratio 2:1 so 3:x = 2:1 and x = 1.5 answer
2:1
When dividing three real numbers the order can effect the answer.
Example:
8:4:2
1. 8:4:2=(8:4):2=2:2=1;
2. 8:4:2=8:(4:2)=8:2=4.
As you can see the results are different.
Answer: It is not true.