Question

What is the equation for 5 units left and 3 units up from f(x)=x

Answer 1

The new equation after shifting will be:

$g(x) = (x+5)+3\\g(x) = x + 8$

Step-by-step explanation:

Function trnafomations upward and left are defined as:

Upward:

f(x) => f(x)+b where b is an integer

Left:

f(x) => f(x+b) where b is an integers

Given function is:

$f(x) = x$

Shifting the function 5 units left

$g(x) = f(x+5) => x+5\\g(x) = x+5$

Shifting the function upward 2 units

So,

$g(x) = (x+5)+3\\g(x) = x + 8$

The new equation after shifting will be:

$g(x) = (x+5)+3\\g(x) = x + 8$

Keywords: Functions, shifting

Learn more about functions at:

• brainly.com/question/4054269
• brainly.com/question/4163549

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