B. Transform each quadratic function from standard form to vertex form f(x) =a(x...

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✒️VERTEX FORM

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$\Large\underline{\mathbb{DIRECTIONS}:}$

» Transform each quadratic function from standard form to vertex form f(x) =a(x-h)²+k. show your solution

$1. \: \rm f(x) = x^2 + 2x - 9$

$2. \: \rm f(x) = x^2 + 4x - 10$

$3. \: \rm f(x)= \text-2x^2 + 4x - 12$

$4. \: \rm f(x)= \text-4x^2 + 16x - 12$

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$\Large\underline{\mathbb{ANSWERS}:}$

$\qquad \large 1. \: \rm{f(x) = (x + 1)^2 - 10}$

$\qquad \large 2. \: \rm{f(x) = (x + 2)^2 - 14}$

$\qquad \large 3. \: \rm{f(x) = \text-2(x - 1)^2 - 10}$

$\qquad \large 4. \: \rm{f(x) = \text-4(x- 2)^2 + 4}$

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$\Large\underline{\mathbb{SOLUTION}:}$

#1: f(x) = x² + 2x - 9

$f(x) = (x^2 + 2x) -9$

$f(x) + 1 = (x^2 + 2x + 1) - 9$

$f(x) + 1 = (x + 1)^2 - 9$

$f(x) = (x + 1)^2 - 9 - 1$

$f(x) = (x + 1)^2 - 10$

$\:$

#2: f(x) = x² + 4x - 10

$f(x) = (x^2 + 4x) - 10$

$f(x) + 4 = (x^2 + 4x + 4) - 10$

$f(x) + 4 = (x + 2)^2 - 10$

$f(x) = (x + 2)^2 - 10 - 4$

$f(x) = (x + 2)^2 - 14$

$\:$

#3: f(x) = -2x² + 4x - 12

$f(x) = (\text-2x^2 + 4x) - 12$

$f(x) = \text-2(x^2 - 2x) - 12$

$f(x) -2(1) = \text-2(x^2 - 2x + 1) - 12$

$f(x) -2 = \text-2(x - 1)^2 - 12$

$f(x) = \text-2(x - 1)^2 - 12 + 2$

$f(x) = \text-2(x - 1)^2 - 10$

$\:$

#4: f(x) = -4x² + 16x - 12

$f(x) = (\text-4x^2 + 16x) - 12$

$f(x) = \text-4(x^2 - 4x) - 12$

$f(x) -4(4) = \text-4(x^2 - 4x + 4) - 12$

$f(x) -16 = \text-4(x - 2)^2 - 12$

$f(x) = \text-4(x - 2)^2 - 12 + 16$

$f(x) = \text-4(x - 2)^2 + 4$

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amariarodilla23

A N S W E R✍️

B. Transform each quadratic function from standard form to vertex form f(x) =a(x-h)²+k. show your solution

1. f(x)=x2+2x-9

2. f(x)=x²+4x-10

3. f(x)= -2x²+4x-12

4. f(x)= -4x²+16x-12

$f(x) = {(x + 1)}^{2} - 10$
$f(x) = {(x + 2)}^{2} - 14$
$f(x) = { - 2(x - 1)}^{2} - 10$
$f(x) = { - 4(x - 2)}^{2} - 4$

#BrainlyChallenge2021

Can you put it in Brainliess

amariarodilla23 di wow ikaw din naman

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Verified answer

✒️VERTEX FORM

#1: f(x) = x² + 2x - 9

#2: f(x) = x² + 4x - 10

#3: f(x) = -2x² + 4x - 12

#4: f(x) = -4x² + 16x - 12

A N S W E R✍️

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