Consider the function below.
1 answer:
Answer:
See the attachment for the points and line of interest.
Step-by-step explanation:
A graphing calculator or graphing utility can show you the curve.
For ax²+bx+c, the line of symmetry is x=-b/(2a). That is also the x-coordinate of the vertex. The y-intercept is the constant, the value of the function when x=0. The x-intercepts are the values of x that make f(x) = 0.
Here, those are x=4 and x=-2. You can factor f(x) as (x+2)(x-4). These values of x make the factors, and the function, zero.
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First use the distance formula to find the radius of the circle:
d=
d=
d=
d=
d=
d=|17|
d=17
Next, find the equation of the circle (use the first picture):
(x+1)^2+(y-5)^2=17^2
Finally, input the equation into a graphing calculator:
(2nd picture)
d=
d=
d=
d=
d=
d=|17|
d=17
Next, find the equation of the circle (use the first picture):
(x+1)^2+(y-5)^2=17^2
Finally, input the equation into a graphing calculator:
(2nd picture)