Identify the vertex and the y- intercept of the graph of the function , i would appreciate the you

Vertex (-3, 4); y-intercept: -5.

Step-by-step explanation:

y = -(x + 3)^2 + 4

This is the vertex form of a quadratic function whose general form is:

y = a(x - b)^2 + c    where the vertex is at (b, c).

So comparing this last equation to the one in the question we see that the vertex is at (-3, 4).

When the graph passes through the y-axis x = 0 so the y intercept is calculated as follows:

y =  - (0 + 3)^2 + 4

y =  -9 + 4 = -5.

so the y-intercept is at (0, -5)

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.