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

Answer:

Option B is correct.

Step-by-step 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)

Answer 2

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