Question

If f(x) = x² is vertically stretched by a factor of 18 to g(x), what is the equation of g(x)?

Answer 1

We need to find the equation of the new function g(x) obtained by vertically stretching the function:

`f\mleft(x\mright)=x²`

Vertically stretching a function by a factor of k corresponds to multiplying the whole expression of function by k:

`g(x)=k\cdot f(x)`

In this problem, we have k = 18. Thus, we obtain:

`g(x)=18\cdot f(x)=18x²`

Answer: C. g(x) = 18x²