SOLUTION: 2. Use y= -0.017x^2 + 0.98x + 0.33 to write the quadratic equation that arises determining when the ball is 10 yards above the ground. b. Rewrite the equation in standard form a

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 2. Use y= -0.017x^2 + 0.98x + 0.33 to write the quadratic equation that arises determining when the ball is 10 yards above the ground. b. Rewrite the equation in standard form a      Log On


   

Question 798319: 2. Use y= -0.017x^2 + 0.98x + 0.33 to write the quadratic equation that arises determining when the ball is 10 yards above the ground.
b. Rewrite the equation in standard form and simply if possible.
c. What does the graph tell you about the number of solutions to this equation?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If x is time and y is height above ground,
then directly using y=10, simplifying and using solution to quadratic equation,
x=12.6 or x=45. I omit showing those steps.

The parabola has a maximum and opens downward.

You can complete the square to convert y into standard form.

If rendering works correctly, the graph should appear like,
graph%28300%2C300%2C-10%2C65%2C-10%2C30%2C-0.017x%5E2+%2B+0.98x+%2B+0.33%29


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Generally, y=ax%5E2%2Bbx%2Bc
For y=0, x=%28-b%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29

Tell me if you need to see more steps.