Question

A function is in the form g(X) = ax^2 + d. If a is greater than 1 and d is negative, which could be the graph of g(x)?

Answer 1

Answer:

Option B

Step-by-step explanation:

Step-by-step explanation:

We have the function $g(x)=ax^2 +d$  then, by definition:

If  $0$ then the graph is compressed vertically by a factor a.

If  $|a| > 1$ then the graph is stretched vertically by a factor a

If $a$  then the graph is reflected on the x axis.

If $d> 0$ the graph moves vertically upwards d units.

If $d$ the graph moves vertically down  d units.

We know that:

$a > 1$ then the graph is stretched vertically by a factor a

and

$d$ the graph moves vertically down  d units

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

The answer is option B