Fist convert the equation to vertex form
y = 2(x^2 + 14x) - 8
y = 2 [(x + 7)^2 - 49] - 8
y = 2(x + 7)^2 - 106
So the vertex is at (-7,-106)
Answer:

Step-by-step explanation:
GIVEN: A square with base
, a circle that perfectly fits inside square.
TO FIND: Approximate area of circle.
SOLUTION:
Consider the figure attached.
let the radius of circle be 
radius of circle 


Area of circle 


Hence the area of circle that perfectly fits inside the square is 
Answer:
<h3><u>x = 18</u></h3>
Explanation:
- Line E B C Needs To Equal 180°
3x + 5 + 3x + 4 + 3x + 9 = 180
- Simplify Both Sides Of The Equation
(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)
9x + 18 = 180
9x + 18 = 180
- Subtract 18 From Both Sides
9x + 18 − 18 = 180 − 18
9x = 162
Divide Both Sides By 9
9x / 9 = 162 / 9
<h3><u>x = 18</u></h3>
The total number of coins in Lucy's coin collection is equal to 80 coins.
- Let the total number of coins be C.
<u>Given the following data:</u>
- Percentage of quarters = 15%
- Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
<u>Total number</u><u> of </u><u>coins</u><u>:</u>

C = 80 coins.
Read more on word problem here: brainly.com/question/24604067