Answer:
[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]
Step-by-step explanation:
recall that,
[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]
remember that,
- Larger values of 'a' squash the curve inwards
- Smaller values of 'a' expand it outwards
- And negative values of 'a' flip it upside down
since the Parabola squashes inwards we assume a=4
we know that,
- when c is positive the Parabola goes upwards
- when c is negative the parabola goes downwards
as the Parabola goes upwards by 2 units we assume c is 2
hence,
our best answer choice is a
