Need answer fast! the team mascot shoots a rolled t-shirt from a special t-shirt cannon to a section of people in the stands at a basketball game. the t-shirt starts at a height of 8 feet when it leaves the cannon and 1 second later reaches a maximum height of 24 feet before coming back down to a lucky winner. if the path of the t-shirt is represented by a parabola, which function could be used to represent the height of the t-shirt as a function of time, t, in seconds? f(t) = –16(t – 1)2 + 24 f(t) = –16(t + 1)2 + 24 f(t) = –16(t – 1)2 – 24 f(t) = –16(t + 1)2 – 24

f(t) = - 16(t - 1)² + 24

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here the vertex = (1, 24)

y = a(t - 1)² + 24

to find a substitute the starting point (0, 8) into the equation

8 = a + 24 ⇒ a = 8 - 24 = - 16

f(t) = - 16(t - 1 )² + 24

A

Step-by-step explanation:

f(t) = –16(t – 1)2 + 24

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

so, converting firstly the mixed fractions to improper fractions and then "adding".