Question

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right? g(x) = (1.6)x 5 − 9 g(x) = (1.6)x 5 9 g(x) = (1.6)x − 9 5 g(x) = (1.6)x 9 5

Answer 1

The equation which represents the provided function after it has been translated 5 units up and 9 units to the right is (1.6)ˣ⁻⁹+5.

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

• Horizontal shift-Let the parent function is $f(x)$. Thus, by replacing parent function with $f(x-b)$ Shifts the graph b units right, and by replacing parent function with $f(x+b$) shifts the graph b units left.
• Vertical shift-Let the parent function is f(x). Thus, by replacing parent function with $f(x)-c$  Shifts the graph c units down and by replacing parent function with $f(x)+c$ Shifts the graph c units up.

The provided function in the problem is,

$f(x) = (1.6)^x$

The function has translated 5 units up. Thus, substrate 5 units inside the function.

$g(x) = (1.6)^{x-5}$

The function has translated units to the right. Thus, add 9 units outside the function as,

$g(x) = (1.6)^{x-5}+9$

Thus, the equation which represents the provided function after it has been translated 5 units up and 9 units to the right is,

$g(x) = (1.6)^{x-5}+9$

Learn more about the transformation of a function here;

https://brainly.com/question/10904859

Answer 2

Answer:

C

Step-by-step explanation:

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