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:
5ln3=ln(3^5)
Step-by-step explanation:
Given: 5ln(3)
Use rule: alog(b)=log(b^a), aln(b)=ln(b^a) (doesn't matter what the log base is)
Apply rule: ln(3^5)
Answer:
where are the choices
Step-by-step explanation:
Hi!




Explanation: <u><em>This question is super super easy to me. This question is about how to use their order of operations the math problems. First you had to used PEMDAS stands for P-Parenthesis first, E-Exponents second, M-Multiply third, D-Divide fourth, A-Add fifth, and S-Subtract sixth. Then multiply and divide from left to right with 6*7=42. Then 27*9=243,42-243+64, and add or subtract from left to right with 42-243+64=-137 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie</em></u>
Answer:
nope i need more points lol
Step-by-step explanation: