Question

What is the axis of symmetry and vertex for the function f(x) = 3(x – 2)2 + 4? x = ?

Answer 1

Answer: symmetry about x axis.

vertex:(2,4)

Step-by-step explanation:

symmetry about x axis because this is a parabola of standard form X²=4aY

vertex is found by taking 4 to the otber side. (2,4)

Answer 2

Answer:

Axis of symmetry : x=2

Vertex: (2,4)

Step-by-step explanation:

Formula:

Vertex form of the parabola is given by

$y=a(x-h)^{2}+k$

where

(h, k) is the vertex of the parabola.

Given:

$f(x)=3(x-2)^{2}+4$

To find:

Axis of symmetry

&

Vertex of the given function

Solution:

Here axis of symmetry is the point which divides the parabola into two equal parts.

From the given equation:

$f(x)=3(x-2)^{2}+4$

Axis of symmetry :

$x=2$

Comparing the given equation and the vertex form of parabola equation, we can find the vertex of the given function.

$f(x)=3(x-2)^{2}+4$           -------------- 1

$y=a(x-h)^{2}+k$              --------------- 2

From comparing above two equations

we get

a=3

h=2

&

k=4

∴Vertex:

             (h, k) = (2,4)