Home » » The maximum value of the function of y = 2 + 3x - 4x$$^2$$ is

# The maximum value of the function of y = 2 + 3x - 4x$$^2$$ is

### Question

The maximum value of the function of y = 2 + 3x - 4x$$^2$$ is

A) -23/16

B) 5/15

C) 41/16

D) 59/16

### Explanation:

$$y = -4x^2 + 3x + 2$$
$$a = -4, b = 3, c = 2$$
max $$= c - \left( \cfrac{b^2}{4a} \right)$$
$$= 2 - \left( \cfrac{3^2}{4(-4)} \right)$$
$$= 2 + \cfrac{9}{16}$$
$$= \cfrac{32 + 9}{16} = \frac{41}{16}$$

## Discussion (2)

• $$y = -4x^2 + 3x + 2$$
$$a = -4, b = 3, c = 2$$
max $$= c - \left( \cfrac{b^2}{4a} \right)$$
$$= 2 - \left( \cfrac{3^2}{4(-4)} \right)$$
$$= 2 + \cfrac{9}{16}$$
$$= \cfrac{32 + 9}{16} = \frac{41}{16}$$

• Why are there no explanationations for the mathematics questions?