Question

Which of the following has a graph that is wider than the graph of y=3x2+2 ? a.y=3x2+3 b.y=0.5x2+1 c.y=4x2 +1 d.y=4x2+1

Answer 1

So sorry fir it being this late but the answer is B

Answer 2

Option B is correct.

Explanation:

Given:
`y=3x^2+2`

We need to choose correct graph whose wider than given graph.

For wider, we check the coefficient of x².

For function y=ax²

If a>1 then compressed

If a<1 then wider

We will compare the coefficient of x² for each option.

Option A:
`y=3x^2+2`

`3x^2+2\rightarrow 3x^2+2` Identical graph.

Option B:
`y=0.5x^2+1`

`3x^2+2\rightarrow 0.5x^2+1`

3>0.5, Graph becomes wider than older one.

Option C:
`y=3x^2+2`

`3x^2+2\rightarrow 4x^2+1`

3<4, Graph thinner than original graph.

Option D:
`y=3x^2+2`

`3x^2+2\rightarrow 4x^2+1`

3<4, Graph is thinner than original graph.

Hence, Option B is correct. (Please see attachment for graph)