So lost! asap!

show proof of your answer! i’m so

  y = (x -3)² -2

Step-by-step explanation:

The vertex form of the equation of a parabola is ...

  y = a(x -h)² + k

for vertex (h, k) and vertical scale factor "a".

Your graph shows the vertex to be at (x, y) = (3, -2). Note that one unit either side of the vertex, the graph goes up one unit. The number of vertical units difference from the vertex is the value of "a", so it is 1 for this parabola.

That means the equation is ...

  y = 1·(x -3)² -2

or, more simply, ...

  y = (x -3)² -2 . . . . . . . matches the 3rd choice

Please note that if "a" is negative, the parabola will open downward. This one opens upward, so you can immediately reject the first two answer choices.

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