Question

Me ajudem POR FAVOR!!!

Answer 1

f(x) = a(x -h)² + k

h = -b/2a

k = -Δ/4a

a.

h = -(-1)/(2*1)

h = 1/2

Δ

1 -4*-2

9

k = -(9/4*1)

k = -9/4

0 = (x -1/2)² -9/4

√9/4 = √(x -1/2)²

1/2 ± 3/2 = x

x' = 4/2 → 2

x'' = -2/2 → -1

{2 , -1}

b.

h

-(1)/(2*3)

-1/6

Δ

1² -4*-6

25

k = -(25/4*3)

k = -25/12

0 = 3(x +1/6)² -25/12

25/(12*3) = (x +1/6)²

√(25/36) = √(x +1/6)²

-1/6 ± 5/6 = x

x' = 4/6 → 2/3

x'' = -6/6 → -1

{2/3 , -1}

c.

h

-(-2)/2*1

1

Δ

(-2)² -4

0 = k

0 = (x -1)²

1 = x

{1}