Given : f(x)= 3|x-2| -5
f(x) is translated 3 units down and 4 units to the left
If any function is translated down then we subtract the units at the end
If any function is translated left then we add the units with x inside the absolute sign
f(x)= 3|x-2| -5
f(x) is translated 3 units down
subtract 3 at the end, so f(x) becomes
f(x)= 3|x-2| -5 -3
f(x) is translated 4 units to the left
Add 4 with x inside the absolute sign, f(x) becomes
f(x)= 3|x-2 + 4| -5 -3
We simplify it and replace f(x) by g(x)
g(x) = 3|x + 2| - 8
a= 3, h = -2 , k = -8
The value of the function f(x) = x² + 6x - 9 when x = -5 is -14.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given that:
f(x) = x² + 6x - 9
When x = -5:
f(-5) = (-5)² + 6(-5) - 9 = -14
The value of the function f(x) = x² + 6x - 9 when x = -5 is -14.
Find out more on equation at: brainly.com/question/2972832
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For example, if the question is to simplify square root x^7, you do 7/2=3......1
so the answer would be x^3 times square root x
Is this more then one question?