Question

Which of the following equations has a maximun?

a. y=3x-1
b. y=4x^2+4
c. y=x^2
d. y=-7x^2-1

Answer 1

Linear functions never have maxima and minima, so a) is discarded.

In the options there are quadratic functions, they can present either a maximum or a minimum.

You can know instantly by seeing the sign of the variable
`{x}^(2)`, if positive the parabola opens up, then it will have a minimum, if negative the parabola opens down, having a maximum.

`\mathbb{ANSWER} \rightarrow \boxed{ \boxed{y = - {7x}^(2) - 1 }}`

Answer 2

The answer is option D.

y = - 7x² - 1

It's maximum is ( 0 , - 1)

Hope this helps you