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12-08-2022
Mathematics

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The least value of the function x^2 + px + q is 3 and this occurs when x = - 2. find the values of p and q

Respuesta :

12-08-2022

Answer:

Hello,

p=4

q=7

Step-by-step explanation:

The vertex of the parabola is (-2,3)

Equation of the parabola is k(x+2)²+3=x²+px+q

Let's identify the coefficients:

kx²+4kx+4k+3=x²+px+q

so

k=1

4*1=p

4*1+3=q

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