Question

Consider firing a pumpkin from a canon at a target that is 17 meters away. The pumpkin follows a quadratic path as displayed to the right. Will the pumpkin hit the target?

1a. Use the graphing calculator to make a table of the given ordered pairs (9.7, 15.1) (4.8, 12.4) (2.6,7.9) . Include (0,0) in your table.

b. Find the equation for the parabola. Round all coefficients to the nearest tenth.

c. Find the roots of the equation from part b.

d. Will the pumpkin hit the target?

Answer 1

For the answer to the question above,
1b. Is y = 0.20927x^2 + 3.587x + -0.0029068

1c. (0,0) and (17.14,0)

1.d No

2a. (10,3) root (I'm not sure on this number but everything else is correct)

2b. (-3,-49) vertex

2c. (0,-40) y-intercept

2d. (4,0) root
I hope this helps