Question

To go from the basic function f (x) = x^2 to the transformed function

g (x ) = - (x + 5)^2 - 4

Answer 1

y = A ( Bx + C ) + D

A = shrinks/expands the graph by A factor, if A is negative, the function flips upside down
C = horizontal shift, C > 0, to the left, C < 0, to the right
D = vertical shift, D > 0, up, D <0, down

Answer 2

For reference here's the graph

Answer 3

thank you!

Answer 4

is the graph shifting down then since D < 0 ?

Answer 5

would this be my answer? Reflect across the x-axis, shift left 5 units, and then shift down 4 units.