Calculus help 1 q

Question

Find the function g that is finally graphed

after the following transformations are ap-

plied in the order given to the graph of a

function f:

(1) reflect about the x-axis;

(2) shift down 3 units;

(3) stretch vertically by a factor 6;

(4) reflect about the y-axis.



1. g(x) = 18 −3f(−x)

2. g(x) = 18 −6f(x)

3. g(x) = −18 −6f(−x)

4. g(x) = 18 + 6f(−x)

5. g(x) = 6f(x) −18

Answer 1

Reflected across the x-axis: g(x) = -f(x)

Shifted down 3 units: g(x) = f(x) - 3

Stretched vertically by a factor of 6: g(x) = 6f(x)

Reflect about the y-axis: g(x) = f(-x)

Since none of these include a "-3" associated with shifting down 3 units, I assume you meant to say shift down 18 units.

Just put all these together to get the combo.