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tdyson3p6xvtu
14.05.2021 •
Mathematics
HELP this is for a statistics question
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Ответ:
a: to the left
b: up
c: x-axis
Step-by-step explanation:
First, let's write how the transformations work in a general way.
Horizontal shift.
A horizontal shift of A units is written as:
g(x) = f(x + A)
if A is positive, the shift is to the left.
If A is negative, the shift is to the right.
Vertical shift:
A vertical shift of A units is written as:
g(x) = f(x) + A
If A is positive, the shift is up
If A is negative, the shift is down.
A reflection over the x-axis changes the sign of the y-component, then:
g(x) = -f(x)
a reflection over the y-axis, changes the sign of the x-component, then:
g(x) = f(-x).
Ok, now let's solve this:
f(x) = x^3
g(x) = -(x + 2)^3 - 4
Then:
First, f(x) was translated 2 units to the left, to get:
g(x) = (x + 2)^3
Then, it was translated 4 units up, to get:
g(x) = (x + 2)^3 + 4.
Then, we have a reflenction over the x-axis, that changes the sign in the left side:
g(x) = -( (x + 2)^3 + 4) = -(x + 2)^3 - 4
Then the correct options are:
a: to the left
b: up
c: x-axis