For a science project, Joseph launches a model rocket. The function "h(s)=-3s^2+6s+45 represents the height in feet of the rocket after s seconds. It will take the rocket ___ second(s) to reach its maximum height. A - 1 B - 3 C - 5 D - 45 E - 48

t = 1 s to reach its maximum height.

Step-by-step explanation:

The function that represents the height of the rocket after s seconds is given by :

...(1)

For maximum height,

It is the time the rocket will take. So, the ball will take 1 second to reach its maximum height.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.