Question

Match each function formula with the corresponding transformation of the parent function y = 5-^x Please help ASAP!!1.y = 5xTranslated left 5 units2.y = 5–x + 5Translated right by 5 units3.y = 5–x – 5Translated up by 5 units4.y = 5–x+ 5Translated down by 5 units5.y = –5–xReflected across the x-axis6.y = 5–x – 5Reflected across the y-axis

Answer 1

Parent function:

`y=5^(-x)`

Transformations:

`y=a*5^(bx-h)+k`

If a is negative it is a reflection across x-axis

If b is negative (change of symbol of x variable) it is a reflection across the y-axis

If h is positive it is a translation h units to the left

If h is negative it is a translation h units to the right

If k is positive it is a translation k units up

If k is negative it is a translation k units down

Given expressions and corresponding transfomation are:

1.

`y=5^x`

x-variable change of symbol: Reflected across the y-axis

2.

`y=5^(-x)+5`

k = +5: Translated up by 5 units

3.

`y=5^(-x-5)`

h= -5: Translated right by 5 units

4.

`y=5^(-x+5)`

h= +5 : Translated left 5 units

5.

`y=-5^(-x)`

a: negative: Reflected across the x-axis

6.

`y=5^(-x)-5`

k: -5: Translated down by 5 units