Express the function y = 2x^2 + 8x + 1 in vertex form.

 The vertex form of the given function is

Step-by-step explanation: We are given to express the following function in vertex form.

We know that the vertex form of a quadratic function is given by

where (h, k) is the vertex.

From equation (i), we have

Thus, the vertex form of the given function is

- Use the form  a x ^2 + b x + c , to find the values of  a ,  b , and  c .

a = 2 ,b = − 8 , c = 1

- Consider the vertex form of a parabola.

a ( x + d ) ^2 + e

- Find the value of  d  using the formula  d = b /2a .

d=-2

- Find the value of  e  using the formula  e =c − b ^2 4 a .

e = − 7

- Substitute the values of  a ,  d , and  e  into the vertex form  a ( x + d ) 2 + e .

2 ( x − 2 ) ^2 − 7

- Ouma

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )