Question

Which of the following equations has a graph that is narrower than the graph of

y = 2x2 + 3?

A) y = −3x2 + 2
B) y = −0.5x2 − 2
C) y = 2x2 − 3
D) y = 0.5x2 + 3

Answer 1

I think that is B but I'm not sure

Explanation:

Answer 2

A) y = −3
`x^(2)` + 2

Explanation:

Given the function is:

• y = 2
  `x^(2)`+ 3

and the graph of it is a parabola because it is a Quadratic function

The standard form of a Quadratic function is the following

`f(x)=ax^2+bx+c`, where: "a", "b" and "c" are real numbers (a≠0)

The important thing to remember is that if the value of the coefficient leads "a" larger, then the parabola will be narrower.

In our given function, the coefficient lead is:
`|a|=2`

In all 4 possible answer, only a has the absolute value of the coefficient lead,
`|a|=3` is greater than 2. So we choose A) y = −3
`x^(2)` + 2