State all the transformations needed to transform f(x)= 3(x-5)^2 -7 to have a vertex of (-2,4) and also be reflected on the x axis

Transformed equation is: f(x) = -3(x + 2) + 4

Step-by-step explanation:

The vertex equation of a parabola is: f(x) = a(x - h)² + k   where

We are given f(x) = 3(x - 5)² - 7   -->   a = 3,    (h, k) = (5, -7)

→ We need to move the x-coordinate from 5 to -2   (7 units left)

→ We need to move the y-coordinate from -7 to 4   (11 units up)

→ To reflect over the x-axis, we need to make the a-value negative.  

fwms@lil_ben06

step-by-step explanation: