Question

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.

Answer 1

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

Explanation: