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

we know that

The equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex

if -----> then the parabola open upward (the vertex is a minimum)

if -----> then the parabola open downward (the vertex is a maximum)

The axis of symmetry is equal to

In this problem let's analyze two cases

First case

the vertex is the point

so

-----> then the parabola open upward (the vertex is a minimum)

The axis of symmetry is equal to

Second case

the vertex is the point

so

-----> then the parabola open upward (the vertex is a minimum)

The axis of symmetry is equal to

-2/

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.