Question

Determine the equation, in vertex form, of a parabola that has been:

(a) reflected in the x-axis and horizontally shifted right 4 units.

(b) vertically compressed by a factor of 1/4 and vertically translated 5 units down

(c) vertically stretched by a factor of 4, translated 3 units left and 2 units up

Answer 1

`a)\ y=-(x-5)^2;\\b)\ y=4x^2-5;\\c)\ (y-2)^2=4*(x+3).`

Good luck!