Given that,
Total no of cards = 20
The ratio of animal cards to fruit cards is 2:3
No of animal cards = 20
Solution,
Let there are 2x animal cards and 3x fruit cards. ATQ,
2x+3x = 20
5x = 20
x = 4
Animal cards = 2x
= 2(4)
= 8
Fruit cards = 3x
= 3(4)
= 12
It is also mentioned that, of the cards, 1/3 have bananas on them. It means,
Hence, 4 cards have bananas on them.
Answer:
Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.
Step-by-step explanation:
We are asked to describe the transformation of function as compared to the graph of
.
We can write our transformed function as:
Now let us compare our transformed function with parent function.
Let us see rules of transformation.
,
,
Scaling of a function:
If a>1 , so function is stretched vertically.
If 0<a<1 , so function is compressed vertically.
As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.
As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.
Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.