, which of the following correctly identifies the y-intercept and best explains its meaning?(1 point)
Responses
The y-intercept is at (2,0)
. The shirts are launched at an initial height of 2 feet.
The y -intercept is at left parenthesis 2 comma 0 right parenthesis . The shirts are launched at an initial height of 2 feet.
The y-intercept is at (0,2)
. The shirt will reach the ground after 2 seconds from being launched.
The y -intercept is at left parenthesis 0 comma 2 right parenthesis . The shirt will reach the ground after 2 seconds from being launched.
The y-intercept is at (0,0)
. The shirts are launched from the ground.
The y -intercept is at left parenthesis 0 comma 0 right parenthesis . The shirts are launched from the ground.
The y-intercept is at (0,2)
. The shirts are launched at an initial height of 2 feet.
1 answer
The correct response is:
The y-intercept is at (0,2). The shirts are launched at an initial height of 2 feet.
The y-intercept of a function occurs where \( t = 0 \). In this case, when you substitute \( t = 0 \) into the function \( y = -16t^2 + 30t + 2 \), you find:
\[ y = -16(0)^2 + 30(0) + 2 = 2 \]
This means that at time \( t = 0 \), the height \( y \) is 2 feet, which is the initial height from which the T-shirts are launched.
