What is the graph of the equation (x+8)^2+(y-1)2=9
2 answers:
Answer:
option (b) is correct.
Step-by-step explanation:
Given : the equation
We have to plot the graph for the given equation and choose the correct graph
Since the general equation of circle is given as,
Where (h, k) is the center of the equation and r is the radius.
Thus, for the given equation
on comparing we have h = -8 , k = 1 , r = 3
Thus, the graph will be a circle with center at (-8, 1) and radius 3 .
Thus, the graph in option (b) is correct.
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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:
