SOLUTION: what is the vertex form of the function y=3x^2-12x+17?

Question 924850: what is the vertex form of the function y=3x^2-12x+17?

Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

finding the vertex form of a Parabola opening up(a>0) or down(a<0),

y = ax^2 + bx + c ⇒ y = a(x -(-b/2a)^2) - a(-b/2a)^2 + c
........
y=3x^2-12x+17 format ax^2 + bx + c
Note: = 2
........
y = 3(x-2)^2 -12 + 17
y = 3(x-2)^2 + 5
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the vertex form of the function y=3x^2-12x+17?
------
y-17 = 3x^2-12x
-----------------------
Factor and complete the square to get::
y-17 = 3(x^2-4x+4) - 12
----
Add 12 to both sides to get::
y-5 = 3(x-2)^2
-----
vertex:: (2,5)
--------------------
Cheers,
Stan H.
-----------------
RELATED QUESTIONS
what is the vertex form of y=3x^2+12x+20... (answered by RedemptiveMath)
what is the vertex form to... (answered by jim_thompson5910,Onmyoji.S)
find the vertex form of the quadratic function... (answered by josgarithmetic)
Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and graph (answered by TimothyLamb)
what is the intercepts, axis of symmetry and vertex of... (answered by stanbon)
Find the quadratic relation in vertex form that: Is defined by... (answered by Boreal)
Here is my question : Write the quadratic function in form f(x) =a(x-h)^2 +k Then,... (answered by KMST)
Write the following quadratic function in vertex form. Then, identify the axis of... (answered by mananth,greenestamps)
What is -3x^2+12x in vertex... (answered by Fombitz)