3. Graph each of the following functions on the same coordinate plane given below and make sure you label each of your graphs with their correct function name f(x), g(x) or h(x) to show which graph is which: a. Graph the following absolute value function and state the vertex: the vertex is 5 f(x) = |x - 5| + 4 b. The function g(x) translates f(x) 3 units down. Graph the g(x) on the same coordinate plane and state the g(x) function rule. c. The function h(x) reflects g(x) over the x-axis. Graph the h(x) on the same coordinate plane and state the h(x) function rule.

i believe the correct answer is b.

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

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0