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.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)