Question

A volleyball is served from a height of 6 feet with an initial velocity of 33 feet per second. The situation is modeled using the function h=−6t2+33t+6, where h is the height in feet and t is time in seconds. Which of the following uses the function to correctly identify the corresponding y-values to the given x-values of 0, 1, 2, 3, and 4?(1 point)
Responses

(0,0), (1,27), (2,42), (3,45), and (4,36)open paren 0 comma 0 close paren, open paren 1 comma 27 close paren, open paren 2 comma 42 close paren, open paren 3 comma 45 close paren, and open paren 4 comma 36 close paren

(0,6), (1,21), (2,48), (3,69), and (4,90)open paren 0 comma 6 close paren, open paren 1 comma 21 close paren, open paren 2 comma 48 close paren, open paren 3 comma 69 close paren, and open paren 4 comma 90 close paren

(0,6), (1,33), (2,48), (3,51) and (4,42)open paren 0 comma 6 close paren, open paren 1 comma 33 close paren, open paren 2 comma 48 close paren, open paren 3 comma 51 close paren and open paren 4 comma 42 close paren

(6,0), (33,1), (48,2), (51,3), and (42,4)open paren 6 comma 0 close paren, open paren 33 comma 1 close paren, open paren 48 comma 2 close paren, open paren 51 comma 3 close paren, and open paren 42 comma 4 close paren

Answer 1

The third option. Plugging t into h(t) = −6t^2 + 33t + 6 gives:
h(0)=6, h(1)=33, h(2)=48, h(3)=51, h(4)=42, so (0,6), (1,33), (2,48), (3,51), (4,42).