Question

Can you help with #21 please. I will mark Brainliest.​

Answer 1

Answer:

A, C, E

Step-by-step explanation:

By analyzing the graph, we can see that the roots are $-2$ and $-4$.

We now want to find all equations of the form $(x-(-2))(x-(-4))=(x+2)(x+4)=0$.

This immediately gives C as 1 answer.

We can expand our equation to find other possible solutions!

By the FOIL method: $(x+2)(x+4)=(x)(x)+(2)(x)+(4)(x)+(2)(4)=x^2+6x+8=0$

We can then divide both sides of the equation to find that $-x^2-6x-8=0$, so A is another answer.

We can complete the square on $x^2+6x+8$ to find the last possible solution.

$x^2+6x+8=x^2+6x+9-9+8=x^2+6x+9-1=(x+3)^2-1=0$.

We can then multiply both sides of the equation by $4$ to find that $4(x+3)^2-4=0$, so E is the last answer.

The proof that the other answers don't work is left as an exercise.

So, the answers are A, C, and E, and we're done!

Answer 2

Answer:

its going to be letter b  because  2 and  4 well the x intercepts those  

Step-by-step explanation: