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:
one solution
Step-by-step explanation:
Given
3x - 2 = 4x + 5 ( subtract 4x from both sides )
- x - 2 = 5 ( add 2 to both sides )
- x = 7 ( multiply both sides by - 1 )
x = - 7 ← the one solution
Answer:
15
Step-by-step explanation:
1/6 of 90 is 15
Answer:
11%
Step-by-step explanation:
if he made 8/9 attempts, that leaves 1/9 and 1/9 is .11 so its 11% that he missed
Answer:
y = x + 6
Step-by-step explanation:
The y-intercept is (0, 6). This is where the line crosses the y-axis.
The slope is 4/4, or 1: m = 1
The equation of the line is therefore y = x + 6
