Given is the quadratic function y = f(x) = (x - 4)² + 3 . a) The vertex of the parabola is V( , )

b) Find g(x) after f(x) is reflected over the x-axis.

g(x) =

Use ^2 for squared. Example: write x^2 for x²

LEAVE A BLANK BEFORE AND AFTER EACH PLUS OR MINUS SIGN!

Example: - (x - a)^2 + b

c) Find h(x) after g(x) is translated 3 units to the right.

h(x) =

Use ^2 for squared. Example: write x^2 for x²

LEAVE A BLANK BEFORE AND AFTER EACH PLUS OR MINUS SIGN!

Example: - (x - a)^2 + b

d) Find k(x) after g(x) is translated 4 units up.

k(x) =

Use ^2 for squared. Example: write x^2 for x²