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.
<span>(triangle) ZYB to (triangle) OWR by sss</span>
There are 10 portions to the circle, and 7 of the 10 are shaded. 7/10 is 70%
Because, 9 x 9 = 81. Hope I helped!