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G(x) = 2x² +16x+35
(a) Write the equation in the form g (x)= a (x - h)2 + k.

User CharlieShi
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2 Answers

5 votes

cos ( 3 x )

sin ( 3 x )

tan ( 3 x )

User Neeharika Bhartiya
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10 votes

Answer:

The equation g(x) = 2(x+4)² +3

(h,k) = (-4,3) and a = 2

Explanation:

Step(i):-

Given equation g(x) = 2 x² + 16 x +35

g(x) = 2(x² +8 x ) +35

g(x) = 2(x² +2(4) (x ) +(4)² -(4)²)+35

we know that (a+b)² = a²+2ab+b²

Step(ii):-

g(x) = 2( x+4)² - 2(16) +35

⇒ g(x) = 2(x+4)² - 32 +35

⇒ g(x) = 2(x+4)² +3

comparing g(x) = a (x-h)² +k

(h,k) = (-4,3) and a = 2

Final answer:-

The equation g(x) = 2(x+4)² +3

(h,k) = (-4,3) and a = 2

User Aspdeepak
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