The value of g(x) will be -x² + 2 so option (C) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given,
f(x) = x²
g(x) = shifts graph downward by 2 units and reflected down.
Now,
The value of f(x) for positive x will be positive
But the value of g(x) for positive x is negative and 2 units shifted downward.
So it should be -x² - 2.
Hence"The value of g(x) will be -x² + 2 so option (C) will be correct".
For more about the function,
brainly.com/question/23712366
#SPJ5
