Answer: OPTION D.
Step-by-step explanation:
Below are some transformations for a function f(x):
If 
, then the function is reflected over the x-axis.
If 
, then the function is reflected over the y-axis.
If 
and 
, then the function is horizontally compressed.
If and 
, then the function is horizontally stretched.
In this case you know that the parent function is:
According to the information given in the exercise, the parent function IS horizontally stretched by a factor of 
and it is also reflected over the y-axis.
Therefore, based on the transformations explained before, you can notice that the transformation is:
Where
Therefore, the equation of the transformed function is:
<span>The value of 4 is 4,000 because it’s in the thousands (1,000) column. Therefore, 4 x 1,000 = 4,000. Each column has a different value. For example, 0 is in the ones (1) column, 3 is in the tens (10) column, 2 is in the hundreds (100) column, and 8 is in ten thousands (10,000) column.</span>
Answer:
One unit to the right.
Step-by-step explanation:
I entered both equations into desmos and rootx - 1 is one unit to the right.
Desmos is a great tool for graphing
Answer:
1/ 3
Step-by-step explanation:
If each of the cards is turned over, the probability of picking up a card of one type P(E) becomes equal to:
=> P(E) = number of cards of the required type/ total number of cards
● Total number of spades( ♤ ) = 3
{the queen, one ace and the nine are all spades}
● Total number of cards = 6
Probability of drawing a spade= 3/ 6
= 1/ 2
● Total number of "7" = 1
● Total number of cards = 6
Probability of drawing a 7
= 1/ 6
Now, what's asked is the difference in the probabilities of drawing a spade and a seven.
= 1/ 2 - 1/ 6
= 3/ 6 - 1/ 6
= 2/ 6
= 1/ 3
Hence, 1/ 3 of a greater chance of drawing a spade over a 7.
I believe this would be 5x/2x-5
Hope this helps!
