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Which functions represent a horizontal translation to the left of the parent function f(x) = ln x?

Check all that apply.

g(x) = 3 ln(x − 1) + 6
h(x) = 3 ln(x + 3) + 1
r(x) = −3 ln(x + 1) + 3
s(x) = −3 ln(x) − 3
p(x) = ln(x + 2) − 2

Respuesta :

musiclover10045

A horizontal shift happens when you add or subtract a value from the input value of x.

To shift left the number would be added to the x.

The answers are:

h(x) = 3 ln(x + 3) + 1

r(x) = −3 ln(x + 1) + 3

p(x) = ln(x + 2) − 2

kudzordzifrancis

Answer:

h(x) = 3 ln(x + 3) + 1

r(x) = −3 ln(x + 1) + 3

p(x) = ln(x + 2) − 2

Step-by-step explanation:

The parent function given to us is: [tex]f(x)=\ln x[/tex].

A horizontal translation to the left k units is of the form [tex]y=\ln (x+k)[/tex].

This implies that;

h(x) = 3 ln(x + 3) + 1, is a horizontal translation to the left by 3 units.

r(x) = −3 ln(x + 1) + 3, is a horizontal translation to the left by 1 unit.

p(x) = ln(x + 2) − 2, is a horizontal translation to the left by 2 unit.

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