Write y = 2x^2 + 8x + 3 in vertex form.

We'll use "completing the square" to rewrite y = 2x^2 + 8x + 3 in vertex form:

y = 2(x^2 + 4x              ) + 3

Halve the coefficient of x (that is, halve 4), obtaining 2, and then square 2.

Add this 2  and then subtract it as shown below:

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

Next, rewrite x^2 + 4x + 4 as the square of a binomial:

y = 2( (x+2)^2 - 4             ) + 3

Multiply the -4 term by 2 and take the result outside the parentheses:

y = 2( (x+2)^2              ) + 3 - 8

Simplifying this result:

y = 2( (x+2)^2              )  - 5

Thus, the vertex is at x = -2 and y = -5:  (-2, -5).

explanation:

you gotta know the equation for vertex; . we can turn the quadratic equation into vertex using the complete square.

 | first, the coefficient must be 1

then add/subtract ( coffiecent of x term)^2 of

 | final answer

hope this helps! ❤from peachimin

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12