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Q.

How do you write the quadratic equation y=3x2-12x+4  in vertex form?

Sub Grade: 10

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a

f(x)=3(x-2)2+(-8)

b

f(x)=4(x+2)2+(8)

c

f(x)=3(x+2)2+(8)

d

f(x)=3(x-2)2+8 

answer is A.

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Detailed Solution

Vertex from of a quadratic equation is y =a(x-4)2+K
And n=-b2a
k= f(h)
f(x)=3x2-12x+4
⇒a=3 and b= -12
⇒h=-(-12)2×3=2
f(2)=3(2)2-12(2)+4
f(2)=-8
h=2and a=3  k=-8
Vertex form :-y=(a(x-b)2+k
fx=3(x-2)2+(-8)
  Type Exam: CBSE
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How do you write the quadratic equation y=3x2-12x+4  in vertex form?Sub Grade: 10