A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units. Do you agree? Why or why not? A. S.A. P. I HAVE TO TURN THIS IN AT 10:30 HURRY PLEASE :)

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.

y/x=18

step-by-step explanation:

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )