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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

Respuesta :

Parent function:

[tex]y=5^{-x}[/tex]

Transformations:

[tex]y=a*5^{bx-h}+k[/tex]

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.

[tex]y=5^x[/tex]

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

2.

[tex]y=5^{-x}+5[/tex]

k = +5: Translated up by 5 units

3.

[tex]y=5^{-x-5}[/tex]

h= -5: Translated right by 5 units

4.

[tex]y=5^{-x+5}[/tex]

h= +5 : Translated left 5 units

5.

[tex]y=-5^{-x}[/tex]

a: negative: Reflected across the x-axis

6.

[tex]y=5^{-x}-5[/tex]

k: -5: Translated down by 5 units

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