Question

riptive) (GP) / 5. Quadratic Functions:-28 - 3x+4?17. Which of the following is the maximum value of the equation y = -saA6LOCOنه آه

Answer 1

In a equation in the form:

`y=ax^2+bx+c`

The maximum or minimum value is the value of the function when x is:

`x=-(b)/(2a)`

_________________________________

For the given function:

`y=-2x^2-3x+4`
`\begin{gathered} x=-((-3))/(2(-2))=(3)/(-4)=-(3)/(4) \\ \\ f(-(3)/(4))=-2(-(3)/(4))^2-3(-(3)/(4))+4 \\ \\ =-2((9)/(16))+(9)/(4)+4 \\ \\ =-(18)/(16)+(9)/(4)+4 \\ \\ =-(9)/(8)+(18)/(8)+(32)/(8) \\ \\ =(41)/(8) \\ \\ =5(1)/(8) \end{gathered}`Then , the maximum value of the given function is 5 1/8