Respuesta :

Answer:

Option B

Step-by-step explanation:

Step-by-step explanation:

We have the function [tex]g(x)=ax^2 +d[/tex]  then, by definition:

If  [tex]0 <a <1[/tex] then the graph is compressed vertically by a factor a.

If  [tex]|a| > 1[/tex] then the graph is stretched vertically by a factor a

If [tex]a <0[/tex]  then the graph is reflected on the x axis.

If [tex]d> 0[/tex] the graph moves vertically upwards d units.

If [tex]d <0[/tex] the graph moves vertically down  d units.

We know that:

[tex]a > 1[/tex] then the graph is stretched vertically by a factor a

and

[tex]d <0[/tex] the graph moves vertically down  d units

The searched graph is stretched vertically and its vertex is displaced downwards

The answer is option B