What is the axis of symmetry and vertex for the graph y=−3x2+12x+4?

2 Answers
Bill Jorgensen
Jun 3, 2018

aos = 2

vertex = (2,16)

Explanation:

y=−3x2+12x+4

f(x)=−3x2+12x+4

In the form y=ax2+bx+c you have:

a=−3

b=12

c=4

Axis of symmetry (aos) is: aos=−b2a=−122⋅−3=2

Remember y=f(x)

Vertex is: (aos,f(aos))=(2,f(2)):

f(x)=−3x2+12x+4

f(2)=−3(2)2+12⋅2+4=16

vertex =(2,16)

graph{-3x^2 + 12x + 4 [-16.71, 23.29, -1.6, 18.4]}

Nallasivam V
Jun 3, 2018

Vertex -

(2,16)

Axis of symmetry

x=2

Explanation:

Given -

y=−3x2+12x+4

Vertex -

x=−b2a=−122×−3=−12−6=2

At x=2;y=−3(22)+12(2)+4

y=−12+24+4=16

(2,16)

Axis of symmetry

x=2

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