On a coordinate plane, a curved line with a minimum value of (1, negative 4) crosses the x-axis at (negative 1, 0), and (3, 0), and crosses the y-axis at (0, negative 3). which lists all of the y-intercepts of the graphed function? (0, –3) (–1, 0) and (3, 0) (0, –1) and (0, 3) (–1, 0), (3, 0), and (0, –3)

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)

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere