Question

Write the rule for the function g(x)g(x) reflects f(x)=x^3 +2x+3 across the y-axis

Answer 1

`g(x)=-x^(3)-2x+3`

Explanations:

Given the parent function f(x)= x^3 +2x+3. If this function is reflected across the y-axis, hence the resulting function g(x) will be expressed as:

`g(x)=f(-x)=(-x)^3+2(-x)+3`

Simplify to determine the resulting function g(x)

`g(x)=-x^3-2x+3`

This gives the required rule for the function g(x)