What are the properties of the point (2, 0) in this graphed function?
1 answer:
The point (2,0) represents a relative minimum and an x-intercept.
<h3>How to determine the property?</h3>The missing graphed function is added as an attachment
The point (2,0) means that:
x = 2 and y = 0
On the attached graph, we can see that the graph touches the x-axis at (2,0); this represents the x-intercept
Also, the graph has a minimum at (2,0); this represents the relative minimum
Hence, the point (2,0) represents a relative minimum and an x-intercept.
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<h2>Answer:</h2>
Option: D is the correct answer.
D. The slope of is 3, and passes through O.
<h2>Step-by-step explanation:</h2>It is given that:
AB is dilated by a scale factor of 3 to form AB .
Also, the line AB pass through the origin.
So, if AB pass through (0,0) and some point (x,y) then the slope of line AB is:
( Since, it is given the slope of AB is 3 )
Now , if AB is dilated to A'B' by a scale factor of 3 then
(0,0) → (0,0)
and
(x,y) → (3x,3y)
i.e. (0,0) and (3x,3y) will lie on A'B'.
Hence, the slope of line A'B' is given by:
Hence, both have the same slope.
The answer is : Option: D