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Mathematics, 29.07.2021 19:50 hsjsjsjdjjd

1. Which fruit or vegetable did you select? List the information you know about its path.
2. Your fruit or vegetable will follow a parabolic path, where x is the horizontal distance it travels (feet), and y is the vertical distance (feet).
a) The x-intercepts are the places where your fruit or vegetable is on the ground.
The first x-intercept is (0, 0).
The second x-intercept is where the fruit or vegetable hits the ground after it's launched.
What are the coordinates of the second x-intercept? (2 points: 1 point for each coordinate)
b) Which point on the parabola shows the maximum height of your fruit or vegetable? (1 point)
c) The x-coordinate of the vertex is halfway between the x-coordinates of the endpoints. The y-value of the vertex is the maximum height of the fruit or vegetable. What are the coordinates of the vertex?
3. Use the information above to sketch the flight path of your projectile.
4. Label the x-intercepts and vertex on your sketch.
Writing the equation
Complete questions 5 – 8 to write a quadratic equation for the parabola.
5. Using the coordinates of the x-intercepts, what are the two roots of your quadratic equation?
Hint: The roots are the same as the zeros (the x-values of the x-intercepts).
r1 = _ r2 = _
6. Substitute the roots from question 5 into the equation y = a(x – r1)(x – r2).
7. Substitute the coordinates of the vertex for x and y in the equation from question 6. Solve the equation for a.
8. Using the value of a from question 7, write the quadratic equation in the form y = a(x – r1)(x – r2).
9. Using the distributive property, multiply the equation in question 8 to get the quadratic equation in the form y = ax2 + bx.
10. Use the Graphing Tool to create a parabola with your vertex and x-intercepts.
To use the graphing tool, first zoom out to get the scale you want.
Select the parabola, "U", button.
The click the point that you want as the vertex.
Then click the origin (0, 0).
The Graphing Tool will give you an equation for the function you have created. This equation should be close to the equation from question 8. Write the equation here:


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1. Which fruit or vegetable did you select? List the information you kn

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