Question

[9.06] Fill in the missing term so that the quadratic equation has a graph that opens up, with a vertex of
(– 2, – 16), and x intercepts at x = -6 and x = 2. (Do not include the negative sign in your answer.)

y = x2 + 4x − ___

Answer 1

one again im back msellier sister need help with that please?
@mathslover @ivettef365 @shkrina @.Sam. @Jamierox4ev3r

Answer 2

Well, if you have x-intercepts at points x = a and x = b
the most natural quadratic equation to check first would be
y = (x - a)(x - b)

Answer 3

In this case, y = (x + 6)(x - 2)
Solve that, and the missing term will be clear :)

Answer 4

?

Answer 5

Evaluate
(x + 6)(x - 2) using the FOIL method, or any method you've learned on how to multiply binomials...

Answer 6

well thats the whole of me asking i have trouble with that ?

Answer 7

@terenzreignz

Answer 8

Multiplying binomials using the FOIL method?

Answer 9

The FOIL method is one of the more basic methods of multiplying a pair of binomials. FOIL is actually an acronym. Let's demonstrate with a generic pair of binomials:
\[\Large (a+b)(p+q)\]
Now, let's break down the acronym FOIL into its individual letters:

FIRST terms:
\[\Large (\color{red}a+b)(\color{red}p+q)\]\[\Large (a+b)(p+q)=\color{red}{ap}...\](the ... indicates we're not done yet)

Now:
OUTER terms:
\[\Large (\color{green}a+b)(p+\color{green}q)=ap + \color{green}{aq}...\]

Then:
INNER terms:
\[\Large (a+\color{orange}b)(\color{orange}p+q)=ap+aq + \color{orange}{bp}...\]

Finally:
LAST terms:
\[\Large (a+\color{blue}b)(p+\color{blue}q)=ap+aq+bp+\color{blue}{bq}\]

So, as per the FOIL METHOD (first, outer, inner, last), the product of these two binomials is simply
\[\Large (a+b)(p+q)=\color{red}{ap}+\color{green}{aq}+\color{orange}{bp}+\color{blue}{bq}\]

Answer 10

the things is i need help of how to solve im bad at this

Answer 11

please help

Answer 12

@terenzreignz

Answer 13

(x + 6)(x - 2)
First terms, what are they?

Answer 14

x=ay+by/d solve for y

Answer 15

please

Answer 16

the answer is