Answer:
see attached
Step-by-step explanation:
The x-coordinate of the vertex is given by ...
x = -b/(2a)
for f(x) = ax^2 +bx +c.
We see that the vertex is at x = 1, and we are given a = -16. Then we can find "b" from ...
1 = -b/(2(-16))
32 = b
We know the y-intercept of the equation is 5 (the starting height), so the equation must be ...
h(t) = -16t^2 +32t +5 . . . . . matches the last choice
When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.
For example:
When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.
For example:
You multiply 3 into each exponent in the numerator and the denominator
When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.
When you have something like this:
You subtract the exponents together, so:
Your answer is the second option