Question

The function f is defined by f(x)=x^2+7x-18.

Part A: If (g)=f(4x), then g(x)=ax^2+bx+c. Determine the values for a,b,c.
a=
b=
c=
Part B: Determine the positive zero of g(x) and select the correct answer below.
A. 1/2
B. 7/4
C. 9/4
D. 5/2

Answer 1

If g(x)=f(4x) then:

g(x)=16x^2+28x-18

a,b,c are 16,28,-18 respectively

using the quadratic equation we find x=1/2 and -2.25

A. 1/2