An archer's arrow follows a parabolic path. The path of the arrow can be described by the equation y=-0.005x^2 + 2x + 5.

a. Describe the meaning of the y-intercept of the graph of the equation.

b. What is the horizontal distance the arrow travels before it hits the ground? Round your answer to the nearest foot.

Question

An archer's arrow follows a parabolic path. The path of the arrow can be described by the equation y=-0.005x^2 + 2x + 5.

a. Describe the meaning of the y-intercept of the graph of the equation.

b. What is the horizontal distance the arrow travels before it hits the ground? Round your answer to the nearest foot.

anonymous · Answer

When x is zero y=5 meaning that the arrow started its journey 5 units above the ground. To find where the arrow hits the ground set y equal to zero and solve for x. Since y is the height you would set it equal to zero. Solve for x using the quadratic formula

anonymous · Answer

Omg thank you sooo much

anonymous · Answer

You'll get two values for x. One is negative but obviously that cannot be the answer since the arrow isn't traveling backwards

anonymous · Answer

You are so right