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

Answer:

See below

Step-by-step explanation:

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

Answer 2

Answer:

Reflection on the x axis and vertical displacement 3 units up

Step-by-step 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