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Vertex Calculator
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The curve parabolas always have the lowest point if the parabola is downside-up or the highest point if the parabola is upside-down. The point where the curve transforms its path is called as "vertex".
The vertex form of the function is:
y = a(x - h)2 + k
Here the  point (h, k) is called as vertex .
The general form of the quadratic function is f(x) =ax2 + bx + c.
To convert the standard form(y = ax2 + bx + c) of a  function into vertex form(y = a(x - h)2 + k), we have to write the equation in the complete square form and vertex(h, k) is given by:
h = $\frac{-b}{2a}$
k = c - $\frac{b^{2}}{4a}$

Vertex form Calculator (vertex calculator) is a online tool to calculate the value of coordinates of the vertex (h,k). You just have to enter the value of a, b and c and use the vertex form converter to get the vertex instantly. It is a online calculator that known as standard form to vertex form calculator which acts as a vertex finder or a tool to find the vertex calculator.
 

Steps for Vertex Calculator

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Step 1 :  

Observe the standard equation and note down the value of a, b and c.



Step 2 :  

To find vertex(h, k), use the formula: 


h(x-coordinate) = $\frac{-b}{2a}$
k(y - coordinate) = c - $\frac{b^{2}}{4a}$



Problems on Vertex Calculator

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  1. Find the vertex of the parabola: y = 2x2 + 3x + 4?


    Step 1 :  

    Given equation: y = 2x2 + 3x + 4


    a = 2, b = 3 and c = 4



    Step 2 :  

    Vertex(h, k) is given by


    h = $\frac{-b}{2a}$$\frac{-(3)}{2(2)}$ = $\frac{-3}{4}$  = -0.75


    k = c - $\frac{b^{2}}{4a}$ = 4 - $\frac{(3)^{2}}{4(2)}$ = 4 - $\frac{9}{8}$ = 4 - 1.12500 =  2.87500



    Answer  :  

    (h, k) = (-0.75, 2.87500)



  2. Find the vertex of the parabola: y = x2 + 4x + 5?


    Step 1 :  

    Given equation: y = x2 + 4x + 5


    a = 1, b = 4 and c = 5



    Step 2 :  

    Vertex(h, k) is given by


    h = $\frac{-b}{2a}$$\frac{-(4)}{2(1)}$ = $\frac{-4}{2}$  = -2


    k = c - $\frac{b^{2}}{4a}$ = 5 - $\frac{(4)^{2}}{4(1)}$ = 5 - $\frac{16}{4}$ = 5 - 4 = 1



    Answer  :  

    (h, k) = (-2, 1)



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