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.
Trapezoid
quadrilateral
rhombus
parallelogram
1. 9.5x + 1.5
2. 9x + 36
3. 4.8x + 2
4. 22x + 2
For every negative power you divide by 10
The first option because turn them all into degrees and it says:
54, 60, 90, 120, 255