( 69 points + brain cuz why not xd )
1 answer:
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<h3>Answer: D) y+3</h3>
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Explanation:
Point A is located at (3,1). Point A' is located at (-5,4)
To move from A to A', we'll do two things:
- Move 8 units to the left
- Move 3 units up
The "8 units to the left" portion has us go from x to x-8
The "3 units up" part involves y becoming y+3
So that's how we get the translation rule . The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).
Let's try this translation rule on point B to see if we arrive at the proper location of B'
B is at (2,6) which means
which matches up what the diagram shows. I'll let you verify that the rule also works for point C.
The function for the given graph is f(x) = (x - 4)(x + 2)(x + 4).
<h3>How to represent a graph by an equation?</h3>- A graph can be represented by the equation y = f(x).
- In the equation, the variable x is called the independent variable and the variable y is called the dependent variable.
In the given graph,
The points that lie on the x-axis are (-4, 0), (-2, 0), and (4, 0) where y-coordinate is 0 and the x coordinates are -4, -2, and 4.
On solving the given functions,
Option A:
f(x) = (x - 4)(x + 2)(x + 4)
Since y = 0 consider f(x) becomes 0
So,
(x - 4)(x + 2)(x + 4) = 0
According to the zero product rule,
x - 4 = 0, x + 2 = 0, and x + 4 = 0
⇒ x = 4, x = -2 and x = -4.
Thus, option A represents the function of the given graph.
Learn more about the graph of a function here:
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Disclaimer: The question given on the portal was incomplete. Here is the complete question.
Question:
Select the correct answer. which equation could represent the graphed function (given in the figure below)?
