The function f(x)=x^2 is shifted 3 units to the left, compressed vertically by a factor of 4, shifted down 5 units, and reflected over the x-axis

Answer 1

f(x) = a(x - h)² + k

h = horizontal shift

k = vertical shift

a = stretched/compressed

3 units to the left: h = -3

Compressed by a factor of 4: a = 1/4

5 units down: k = -5

Reflection: attached a negative sign in front of "a"

g(x) = (-1/4)(x + 3)² - 5