Given:
A student says that the graph of the equation
is the same as the graph of
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is


Equation of after transformation is


Now,
...(i)
The translation is defined as
...(ii)
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.
From (i) and (ii), we get

Therefore, the graph of
translated left by 8 units. Hence, the student is wrong.
In order to solve this problem you have to add the distance Harriet traveled away from her starting point which is 2 1/4+3/4. Then you should end up with 3 miles. After that it says she went back on the same route so you have to double the distance. So in total she rode 6 miles.
The answer is 456
This the answer 456
Step-by-step explanation:
Given the information:
- 1st square: 12 square units
- 2nd square: DOUBLE that of the first square = 2*12 = 24 square units
From that, we can determine the length of the side in each square:
1/ 
<=> x = 2
2/ 
<=> a = 2
Please have a look at the attached photo.
Hope it will find you well.