What is the effect on the graph of f(x)=|x| when the function is changed to g(x)=-2|x| ? A.
The graph is reflected across the x-axis and stretched vertically by a factor of 2.
B.
The graph is shifted to the left 2 units.
C.
The graph is reflected across the x-axis and compressed vertically by a factor of 2.
D.
The graph is shifted down 2 units.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

3; 9 is 8 to -4

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for