What is the vertex of the function x2 - 6x + 8 = 0?

The vertex of the function is (h,k) = (3 , -1)

Solution:

The vertex form of quadratic equation is generally given as,

Where h,k is the vertex of the parabola.

From question, given that .

we have to find the vertex of the function.

Let us first convert the given quadratic equation to vertex form (eqn 1)

By adding “9” on both sides of equation, we get

By using the identity ,the right hand side of above equation becomes,

Now,the equation is of the vertex form.

By comparing with

we get the values of (h,k)

a = 1; h = 3; k = -1

hence the vertex of the function is (h,k) = (3 , -1)

me! what did you put for this question?

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺