F(x) = -2x^2-4x+11
in the standard form
f(x) = a(x – h)^2+k

f(x) = - 2(x + 1)² + 13

Step-by-step explanation:

f(x) = - 2x² - 4x + 11

f(x) = a(x - h)² + k

a = - 2, b = - 4, c = 11

h = -

h = - = - 1

k = - 2( - 1)² - 4( - 1) + 11 = 13

f(x) = - 2(x + 1)² + 13

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

(x) - (y) = (1 + 4i)