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.
12 times 4 minus 3 because the 12 represents how much is in each of the 4 cases and you minus that by 3 and you get your answer
Answer:
2y - 6
Step-by-step explanation:
5y - 3(y + 2)
distribute
5y + (-3 * y) + (-3 * 2)
simplify
5y -3y + ( -3 * 2)
5y - 3y + ( -6)
5y - 3y - 6
combine like terms
5-3 = 2
2y - 6
Answer:
C. 8^x/3
Step-by-step explanation:
According to algebraic principles, if n is the root of a number, then that number to the power of 1/n is equal to it. This would mean that n√a = a^1/n.
This would mean that 3√8 = 8^1/3. When there is a power added to a radical expression such as this, that power will go on the denominator. So (3√8)^2 for example is equal to 8^2/3, and in your case, (3√8)^x = 8^x/3
looking back on the fact that this was added 2 days ago i dont think this helped on your quiz
