Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). P = (5,
2 answers:
Answer with Step-by-step explanation:
If the mid point of (x1,y1) and (x2,y2) is (a,b)
Then,
Here we are given that M is a mid point of P and let Q be another end point
i.e. (a,b)=(8,2)and (x1,y1)=(5,6)
We have to find (x2,y2)
16=5+x2 and 4=6+y2
x2=16-5 and y2=4-6
x2=11 and y2= -2
Hence, coordinate of other mid point is:
(11,-2)
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One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values:
When
x=0,f(x)=0
x=1,f(x)=1^2=1
x=2,f(x)=2^2=4
x=3,f(x)=3^2=9
x=4,f(x)=4^2=16
The same holds true for negative x-values to the left of the y-axis since a negative value squared is positive. For example,
x=−1,f(x)=(−1)2=1*−1=1
x=2,f(x)=(−2)2=−2*−2=4
The graph of f(x)=x^2 is called a "Parabola." It looks like this:
