Answer:
B. y=3(x-1)2 + 3
Step-by-step explanation:
Given that
vertex of the parabola is at the point (1,3)
let's verify, if the option B is the correct equation of the parabola.

comparing to standard equationof parabola (standard quadratic equation), we get

to find the vertex we use formula for x- coordinate as 

to find y put x=1 in the Eq1, we get

vertex =(x,y) = (1, 3)
thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified
The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac
If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots
The square root of negative four is 2
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2
Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7
In short, Your Equation would be: y = -3/2x - 7
Hope this helps!
Answer: A=351.68 cm²
Step-by-step explanation:
To find the area of the shaded region, we would subtract the area of the circle by the area of the inner circle.
Area of Circle



Area of inner (white) circle



Now that we have the area to the circle and inner circle, we would subtract to find the area of the shaded region.


