Question

The graph of y=2x^2 is transformed into y=-2x^2+3 which of the following situations beat represets the effect of transformation on the graph of the quadratic function

Answer 1

See below

Explanation:

This is a reflection in the x axis ( the 2 ---> -2) and a translation up of 3 units (The +3).

Answer 2

Reflection on the x axis and vertical displacement 3 units up

Explanation:

If we do
`y = f (x)` then the original function is:

`f(x)=2x^2`

The transformed function is as follows

`y=-2x^2+3`

Then we can see that the transformation that was made was:

`y=-f(x) +3 = -(2x^2)+ 3=-2x^2+3`

In general, a transformation of the form:

`y = -f (x)`

reflects the graph of f(x) on the x axis.

A transformation of the form

`y = f (x) + k`

If
`k> 0` then transformation shifts the graph of f(x) k units up

Then the transformation was: reflection on the x axis and vertical displacement 3 units up