The graph of the parent function y = x3rd power is horizontally stretched by a factor of 1/5 and reflected over the y-axis. What is the equation of the transformed function?
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O y=(5x)3
Oy=(-5x)3
Oy=(1/5x)3
Oy=(-1/5x)3
2 answers:
Step-by-step explanation:
The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?
Original: y = √(x)
Reflected in the y-axis: y = √(-x)
Horizontally stretched by a factor of 2: y = √(-x/2)
Shifted 3 units up: y = 3 + √(-x/2)
And 1 unit left: y = 3 + √(-(x+1)/2)
Horizontally streched means change in x
So
New equation
k is factor
We know the rule for reflection (x,y)=(x,-y)
So
New function
Option D
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