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.
X=-2 is shown on the graph.
Hi!
The measure of angle x is 60 degrees so the measure of angles 2x is 120 degrees.
Answer:
Points are given corresponding to (-8,0) and (0,-11), and you want line's equation in the form y=mx+b. Understand, you already have b=-11. If you too understand ...
Step-by-step explanation: