Taylor fires a toy rocket from ground level. the height of the rocket with respect to time can be represented by quadratic function. if the toy rocket reaches a maximum height of 34 feet, 3 seconds after it was fired, which of the following functions could represent the height, h, of the rocket t seconds after it was fired?
a) h(t)=-16(t-3)²+34
b) h(t)=-16(t+3)²+34
c) h(t)=16(t-3)²+34
d) h(t)=16(t+3)²+34

The function in choice

A)

could possibly represent this relationship.

Step-by-step explanation:

Consider the vertex form of parabolas with a local extrema at .

.

Note the minus sign in front of in this expression.

The coefficient cannot be zero. The value of depends on the direction and width of the parabola's opening:

For this parabola,

Among the four functions, only the function in A) meets the requirements.

step-by-step explanation: