What is the equation of a parabola that is a vertical translation of #y=-5x^2+4x-3# of -12 and a horizontal translation of -9?
To ma(x+e this easier, let's call our function
To vertically translate the function by
To horizontally translate a function by
The function needs to be translated 12 units down and 9 units to the left, so we will do:
This gives us:
After expanding all the brackets, multiplying by factors and simplifying, we get: