Answer:the answer is A) g(x) is shifted down 2 units
Step-by-step explanation:
Since the last number after the parentheses represents the vertical shift, taking away the +2, leaves you with 0 meaning that there is no vertical shift, so the function lies on the x-axis. The graph shifts down 2 units
First find the equation of the line:
y - b = m (X - a)
y - 5 = 2/3 (X + 2)
3y - 15 = 2 (X + 2)
3y - 15 = 2x + 4
3y = 2x + 19
Then sub the y-value of A into the equation to find X.
y = 3
3(3) = 2x + 19
9 = 2x + 19
2x = 10
X = 5
And sub the X-value of B into the equation to find y.
X = -2
3y = 2(-2) + 19
3y = -4 + 19
3y = 15
y = 5
The graph that matches the function f(x) = 2(x – 1)2(x + 1)(x + 2) is shown in the attached file
<h3>How to draw the graph of a Polynomial?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
We want to draw the graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2). Using relevant coordinates input into the function and the generated output, the graph of the given function is as attached below.
Read more about Graph of polynomial at; brainly.com/question/14625910
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It should be the 1st picture