The function g(x) will be given as g(x) = – ∛(x – 1). Then the correct option is D.
The complete question is attached below.
<h3>What is a transformation of geometry?</h3>
A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
The function f(x) is given below.
f(x) = ∛x
Then the function of the g(x) will be
g(x) = – ∛(x – 1)
Then the correct option is D.
More about the transformation of geometry link is given below.
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A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.
B. (2,3)
X = t/2. t = 2x
y = 3t^3 - 1
y = 3(2x)^3 -1
y = 24x^3 -1
I hope this helps you
10^2=5^2+x^2
100-25= x^2
x= 5 square root of 3