Question

gonna need math help and tons
http://prntscr.com/iugyez

Answer 1

so we're going to have to complete the square, any ideas on how to get started?

Answer 2

well, let's start with our function

f(x) = x^2 + 8x + 13

we'll have to re-write this so it's a perfect square trinomial

let's box this part in parentheses first

f(x) = (x^2 + 8x) + 13

to turn the part inside the parentheses into a perfect square, we take the middle coefficient (the coefficient of x), divide by 2, then square it, lmk what you get

Answer 3

next question

Answer 4

i really just need help on how to graph this

Answer 5

http://prntscr.com/iuhzik

Answer 6

dont mind that side note in the question lol

Answer 7

well, a good start would be plotting the axis of symmetry, vertex, and y-intercept, then you treat the axis of symmetry as a "mirror" and draw two equal halves of the parabola

it's probably easier to show than say it with words, just a moment

Answer 8

ah ok

Answer 9

then, we "mirror" across the other side

you can plug a few more x-values into the equation if you want to make the graph a little more accurate

Answer 10

something like that

Answer 11

it's not explicitly asked for but finding the x-intercepts could help make the graph a little more accurate

Answer 12

http://prntscr.com/iuiwwv