3. Show why, for linear functions, a vertical translation is equivalent to a horizontal translation. For a linear function, what horizontal translation is equivalent to a vertical

translation of 3 units up?

4. Alex says that the function f(x) = (3x)represents a vertical stretch of the quadratic

parent function by a factor of 3. Marta says that it represents a horizontal compression

1

by a factor of 3. Decide whether one student is correct, both are correct, or neither is

correct.

5. For an unknown parent function f(x), write a function g(x) that is:

O

o vertically stretched by a factor of 2,

shifted up 5 units, and

o shifted right 4 units.

6. Explain how your function accomplishes these transformations.

3. Vertical is the same as horizontal for linear equations because when moving the function up, it moves the whole line left along the x-axis too. When moving it down, it moves the equation right on the x-axis.

4. Alex is correct

5. g(x)=(2x-8)^2+5

6. This accomplishes these transformations because I made a graph about it

Step-by-step explanation:

the perimeter is increased by a factor of 2

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: