The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
maps onto ![\sqrt[3]{x+4} -3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D%20-3)
. Take f(x) = and f(x+4)=![\sqrt[3]{x+4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D)
.
f(x) =
f(x+4)=
f(x+4) - 3= - 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
Learn more about parent function here
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Answer:
x² -11x +18 = (x -9)(x -2)
Step-by-step explanation:
The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.
18 = (-1)(-18) = (-2)(-9) = (-3)(-6)
The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...
x² -11x +18 = (x -9)(x -2)
Slope is the change in y/ change in x so the equation will be:
-2= (1-y)/(-6-(-5)) -> simplify -> -2= 1-y/-1 -> multiply both sides by -1 -> 2=1-y -> simplify and -y= 1 -> y=-1
It took about 0.66 hour, which is basically 40 minutes.
