Question

Match each function formula with the corresponding transformation of the parent function y = 3 x

1. y = 3-x Reflected over the x-axis

2. y = 3x + 1 Reflected over the y-axis

3. y = -3x Translated down by 2 units

4. y = 3x + 1 Translated left by 1 unit

5. y = 3x - 2 Translated right by 2 units

6. y = 3x - 2 Translated up by 1 unit

Answer 1

Answer:

We are given the parent function, $y=3^x$.

So, we have,

1. Reflection over x-axis.                      2. Reflection over y-axis.  

This  changes f(x) to -f(x).                       This changes f(x) to f(-x)

New function is, $y=-3^x$                     New function is $y=3^{-x}$

3. Translated down by 2 units         4. Translated left by 1 unit

This changes f(x) to f(x)-2                   This changes f(x) to f(x+1)

New function is, $y=3^x-2$                      New function is, $y=3^{x+1}$

5. Translated right by 2 units           6. Translated up by 1 unit

This changes f(x) to f(x-2)                       This changes f(x) to f(x)+1

New function is $y=3^{x-2}$                         New function is, $y=3^{x}+1$