60 PTS WILL MARK BRAINLIEST IF CORRECT {see image} Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations. shift the graph 3 units to the left, reflect it across the x-axis and shrink it vertically by a factor of one half (1/2)

y = -1/2 | x+3|

Step-by-step explanation:

y = f(x + C)  C > 0 moves it left

                 C < 0 moves it right

y = Cf(x)   C > 1 stretches it in the y-direction

                0 < C < 1 compresses it

y = −f(x)  Reflects it about x-axis

Our parent function is

f(x) = |x|

We want it 3 units left

y = f(x + 3)

y = |x+3|

Then reflected across the x axis

y = −f(x)

y = -|x+3|

Then shrink by 1/2 vertically

y = Cf(x)

y = -1/2 | x+3|

3

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours