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.
Answer:
DE≈16.1
m<E≈60.3
m<D≈29.7
Step-by-step explanation:
Number of game tokens is the label on x-axis.
<u>Step-by-step explanation</u>:
The equation is y = 0.5x + 3
Given,
- Admission charge = $3
- Cost of game token = $0.5 per game.
Total cost = admission charge + cost for number of game token
where,
- y represents the total cost
- x represents the number of game tokens.
There was a 200% increase