Answer:
D. (0,-3)
Step-by-step explanation:
Here use the vertex and one point on the curve to determine the function
The vertex form equation is written as;
y=a(x-h)²+k where h,k are coordinates of the vertex
First step is to substitute the coordinates of the vertex into the vertex form equation
y=a(x-h)²+k where (h,k) = (1,-4)
y=a(x-1)²- 4 --------------------------(a)
Substitute coordinates for a point into the equation (a)
Using point (3,0)
y=a(x-1)²-4
0=a(3-1)²-4
0=a(2)²-4
0=4a-4-----------take -4 to the other side
4=4a-------------------divide by 4 both sides
a=1
Rewrite equation as
y=1(x-1)²-4
y=(x-1)²-4
y=x(x-1)-1(x-1)-4
y=x²-x-x+1-4
y=x²-2x-3
Graph the equation to view the y-intercepts
You notice the graph has y-intercept at (0,-3)
Area of circle = pi x radius squared where pi = 3.1416 radius = diameter/2 = <span>4/2 = 2 ins Area = 3.1416 x 2 x 2 sq.ins. = 12.5664 sq in.</span>
Ac - ab = 2
Factor out a
a(c-b) = 2
Then divide the expression by c-b to solve for a.
Do this on both sides.
a(c-b)/(c-b) = 2/(c-b)
a = 2/c-b
The solution is a = 2/c-b.
Above the core is Earth's mantle, which is made up of rock containing silicon<span>, </span>iron,magnesium<span>, </span>aluminum<span>, oxygen and other minerals. The rocky surface layer of Earth, called the </span>crust<span>, is made up of mostly oxygen, </span>silicon<span>, </span>aluminum<span>, </span>iron<span>, </span>calcium<span>, sodium, potassium and </span>magnesium<span>.</span>