Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
The answer would be 5x10^4
10/25 and 6/15
10/25=2/5 and 6/15=2/5
Sorry for the mixup.
Answer:
Step-by-step explanation:
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Answer:
a ≈ 5.3
Step-by-step explanation:
Using Pythagoras' theorem
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 6² = 8², that is
a² + 36 = 64 ( subtract 36 from both sides )
a² = 28 ( take the square root of both sides )
a = 
≈ 5.3 ( to the nearest tenth )
