Point B is on the graph of the function f(x) = -3x2. If the x-coordinate of point B is 2, which ordered pair gives the location of point B?

-4

Step-by-step explanation:

-3x + 2 =y

-3(2) + 2 = y

y=-4

(2, -12)

Step-by-step explanation:

It's f(x) = -3x^2.  The " ^ " symbol indicates exponentiation.

If x = 2, y = -3(2)^2 = -3(4) = -12

So the ordered pair in question is (2, -12).

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4