Question

The graph of g(x) below resembles the graph of f(x)=x^2, but it has been changed. Which I'd these is the equation of g(x)?​

Answer 1

`A) \displaystyle g(x) = 4 {x}^(2) + 2`

Explanation:

recall that,

`\displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^(2) + bx + c`

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