Answer:
(-2,-36)
Step-by-step explanation:

<u>1) Find the zeros of the parabola</u>
The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.
Therefore, x=4 and x=-8.
<u>2) Find the x-coordinate of the vertex</u>
To do this, we take the average of our zeros.

Therefore, the x-coordinate of the vertex is -2.
<u>3) Find the y-coordinate of the vertex</u>
Plug the x-coordinate back into the original equation

Therefore, the y-coordinate of the vertex is -36.
Therefore, the vertex of the parabola is (-2,-36).
I hope this helps!
Solution to equation
for all real values of x is
.
<u>Step-by-step explanation:</u>
Here we have ,
. Let's solve :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
By quadratic formula :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
But at
we have equation undefined as
. Hence only solution is :
⇒ 
Since , 
⇒ 
Now , General Solution is given by :
⇒ 
Therefore , Solution to equation
for all real values of x is
.
Answer:
x intercept: (1,0)
y intercept: (0,3)
Step-by-step explanation: Substitute variables for 0 and solve
Answer:
The first one
Step-by-step explanation:
I believe it is the first option, as you can see that, on the right hand side, 4a was multiplied to the first term to make a common denominator. I'm sorry if it is wrong, and I hope this helped.
Answer:
0.07704056
Step-by-step explanation: