Which equation is the vertex form of y=-3x2+12x-7

Question

jdoe0001 · Answer

well, that's not in vertex form to begin with

jdoe0001 · Answer

unless they're asking for the vertex form of that "standard form"

jhannybean · Answer

Vertex form is $$\large y=a(x-h)^2+k$$

marissalovescats · Answer

I think you will have to do a "complete the square" thing for this problem.

marissalovescats · Answer

She's supposed to put the formula into vertex form.

marissalovescats · Answer

I think you have to subtract 12 from the 7... I remember there being a rule about this because its like not on the side of an equal sign or something.

marissalovescats · Answer

I could be wrong but idk. -3*4 is -12 I'm unsure if I'm remembering correctly.

jhannybean · Answer

Nope. $$\large -3(x^2 +4x+4 -4) -7$$$$\large -3(x^2 +4x +4) -7+12$$

jhannybean · Answer

you multiply -4 by -3 and factor it out to complete the square.

jhannybean · Answer

You subtract -4 to balance the equation.

jhannybean · Answer

Small mistake.... $$\large y = -3x^2 +12x -7$$$$\large y=-3(x^2-4x)-7$$$$\large y= -3(x^2 -4x+4-4)-7$$$$\large y=-3(x-2)^2 -7+12$$$$\large y= -3(x-2)^2 +5$$