Question

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)

Answer 1

Answer:

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|