Answer to Question #236693 in Calculus for CCW

Question

What transformations were applied to parent function f(x) = x^4

a. g(x) = 3(1/2(x-4))^4 + 2

b. h(x) = -2/5(3(x+1))^4 - 6

Answer 1

a) -shift the function by 4 units to the right

-stretched by $\frac{1}{2^4}$ units

-compress by 3 units

-shifts the function by 2 units upward

b)-shift the function by 1 units to the left

-compress by 3⁴ units

-stretched by $\frac{2}{5}$ units

-reflect the function in x-axis

-shift the function by 6 units to the downward