The vertex form of a quadratic function is:
 f(x) = a(x - h)² + k
The coordinate (h, k) represents a parabola's vertex. 
In order to convert a quadratic function in standard form to the vertex form, we can complete the square. 
y = 2x² - 5x + 13 
Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation. 
y - 13 = 2x² - 5x 
Factor out 2 on the right side of the equation. 
y - 13 = 2(x² - 2.5x) 
Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side. 
y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)
y - 13 + 3.125 = 2(x² - 2.5x + 1.5625) 
Add the constants on the left and factor the expression on the right to a perfect square. 
y - 9.875 = 2(x - 1.25)² 
Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side. 
y = 2(x - 1.25)² + 9.875 
Vertex: (1.25, 9.875) 
Solution: y = 2(x - 1.25)² + 9.875
Or if you prefer fractions
y = 2(x - 5/4)² + 79/8
        
             
        
        
        
Answer: 2160°
Step-by-step explanation:
The sum of angles in a polygon is represented by the formula:
Sum = (n - 2) x 180° where n is the number of sides in the polygon 
In this case, the complex polygon has 14 sides (n = 14)
So, (14 - 2) x 180°
= 12 x 180°
= 2160°
Thus, the sum of interior angles of a convex 14-gon is 2160°
 
        
             
        
        
        
Answer:
56,000
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
-2
Step-by-step explanation:
(-5) + (+3)
= -5+3
= -2
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