Can someone please explain to me how to do this?

3. Create two additional quadratic functions, g(x) and h(x).
a. The function g(x) will open the same direction as f(x), have the same vertex, but will be narrower.
b. The function h(x) will open in the opposite direction as f(x), have the same vertex, but will be wider than f(x).
Write your functions below and explain in complete sentences why those functions will meet the requirements in the question.

Question

Can someone please explain to me how to do this?

3.	Create two additional quadratic functions, g(x) and h(x). 
a.	The function g(x) will open the same direction as f(x), have the same vertex, but will be narrower. 
b.	The function h(x) will open in the opposite direction as f(x), have the same vertex, but will be wider than f(x). 
Write your functions below and explain in complete sentences why those functions will meet the requirements in the question.