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)

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

answer is 33

step-by-step explanation: