Question

Can you please help me with these questions? Questio 1

Answer 1

We are given the following functions:

`\begin{gathered} I\mathrm{}y=8x^2-3x-7 \\ \text{II. y=}6-2x^2 \\ \text{III. y=}2x+4x^2 \\ IV\text{. y=}-x^2+5x+117 \end{gathered}`

All the functions are of the form:

`y=ax^2+bx+c`

Therefore, they represent parabolas. A parabola has a maximum when it opens downwards, and a parabola opens downwards if:

`a<0`

This means, that when the coefficient of the variable squared is negative, then the function has a maximum.

For the given functions, the ones that have a maximum would be II and IV. Therefore, the right answer is A.