Question

What is the equation of the graph that represents the parent function f(x) = x⁴stretched vertically by a factor of 2, and then shifted down 3 spaces.=A. g(x) = 2x⁴ + 3B. g(x) = 2x⁴-3c. g(x) = 2(x⁴-3)D. g(x) = 2(x+3)⁴

Answer 1

$f(x)=x^4$

If a function is stretched vertically by a factor of 2, that means we will multiply the function by 2. Therefore, the function becomes:

$f(x)=2x^4$

Then, shifting down 3 spaces means we're going to subtract 3. The function becomes:

$f(x)=2x^4-3_{}$

Therefore, the new function is g(x) = 2x⁴ - 3. (Option B)