Convert y = 5x2 + 20x + 11 to VERTEX form.

y =5(x+2)2−6 is the correct ans

The vertex form of quadratic equation is expressed as:

y = a (x - h) + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x+ 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x + 4x +4)

We simplify the right-hand side as:

y =5(x+2)2−6

(hope that helps can i plz have brainlist :D hehe)

Step-by-step explanation:

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step-by-step explanation:

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