PLEASE ANSWER!!! Select the correct answer from each drop-down menu. Consider the function f(x) = 3x + 1 and the graph of the fu
nction g(x) shown below.
2 answers:
Answer:
Translation of 2 units to the right
g(x) = f(x-2)
Step-by-step explanation:
Given the original function f (x) = 3x +1, we can get the function plotted by translating the graph 2 units to the right.
As seen in the attached image, the original function f(x) is shown in orange, while the translation 2 units to the right is the function in blue. Notice that in the original function the crossing of the x-axis occurs at x = -1/3, and translating the function to the right 2 units moves the crossing two full units to the right, making it now cross the x-axis at x = 5/3
Such translation in 2 units to the right corresponds to a subtraction of 2 units from the x-variable in the original functional expression:
g (x) = f (x - 2) g (x) = 3(x - 2) + 1
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Answer:
Step-by-step explanation:
Hello,
As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.
It means that we can write the expression as below, k being a real number that we will have to identify.
And for x = 0, y = -90 so we can write
-90=k*3*10, meaning that k=-3
Hope this helps.
Do not hesitate if you need further explanation.
Thank you