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Can you write a quadratic equation for me please

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I need to write a quadratic equation in the form y=ax^2+bx +c With the coordinates (0,0), (2,6),(5,10). Thanks!!!

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Dotlnt kniw

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a*0^2 + b*0 + c = 0, so c = 0 a*2^2 + b*2 + c = 6, so 4a + 2b = 6, so 2a + b = 3 a*5^2 + b*5 + c = 10, so 25a + 5b = 10, so 5a + b = 2 3a = -1, a = -1/3 b = 8/3 y = (-1/3)x^2 + (11/3)x

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Each of those gives you a linear equation for a, b and c. (0, 0): Set x = 0, y = 0 0 = a*0 + b*0 + c. Which tells you c right away. (2, 6): Set x = 2, y = 6 6 = a*2^4 + b*2 + c 6 = 4a + 2b + c Plug in the value for c from above and you have a linear equation in a and b. (5, 10): Set x = 5, y = 10 10 = a*5^2 + b*5 + c 10 = 25a + 5b + c Plug in the value for c from above and you have another linear equation in a and b. Two equations in the two unknowns a and b. You know how to solve simultaneous equations in two variables?

            
        

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