What is the vertex of the following quadratic?

y=a(x−h)2+k
options:

(h, k)

(k, -h)

(k, h)

(-h, k)

Question 2
What is the vertex of the following quadratic?

y=2(x+3)2−5
options:

(-3, 5)

(3, -5)

(-3, -5)

(3, 5)

Question 3
What is the vertex of the following quadratic?

y=23(x−1)2+7
options:

(-1, 7)

(-1, -7)

(1, -7)

(1, 7)

Question 4
What is the vertex of the following quadratic?

y=−3(x−9)2−2
options:

(-2, -9)

(9, -2)

(-9, -2)

(-2, 9)

Question 5
What is the vertex of the following quadratic?

y=(x+4)2−6
options:

(4, -6)

(-6, 4)

(-6, -4)

(-4, -6)

1. h,k

2. -3, -5

3. 1, 7

4. 9, -2

5. -4, -6

Step-by-step explanation:

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.