The quadratic function f(x) has a turning point at (-3,8). if the function g is defined by g(x)=-f(x+5) for all values of x then at which of the following points will g(x) have a turning point?
(1) (-8,-8)
(2) (5,-3)
(3) (8,-8)
(4) (-2,8)

(-8,-8)

Step-by-step explanation:

We have that f(x) has a guy point at (-3,8).

If the function g is defined as:

then we want to find the turning point of g(x).

Note that from the above transformation, g is obtained by shifting f to the left, 5 units.

This will move the vertex to (-8,8).

This is then followed by a reflection in the x-axis.

The new vertex will be at;(-8,-8)

sine

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d