Question

projectile the graph shows the height of an object after being thrown from a window.
a. use the graph to estimate the x- and y-intercepts of the function, and interpret the meanings in the context of the situation.
the x-intercept is about
the y-intercept is
this means that the object is thrown from a height of
feet and will hit the ground after
seconds.

Explanation:

Step1: Find x - intercept

The x - intercept is the point where the graph crosses the x - axis (y = 0). From the graph, we can see that the graph touches the x - axis at x≈4.5 (looking at the x - axis which represents time in seconds).

Step2: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis (x = 0). From the graph, when x = 0, the y - value (height) is 11 feet.

Step3: Interpret the intercepts

The y - intercept (when x = 0) gives the initial height from which the object is thrown, so the object is thrown from a height of 11 feet. The x - intercept (when y = 0) gives the time when the object hits the ground, so the object hits the ground after approximately 4.5 seconds.

Answer:

The x - intercept is about 4.5. The y - intercept is 11. This means that the object is thrown from a height of 11 feet and will hit the ground after 4.5 seconds.