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)
