1.5.E: Exercises
- Page ID
- 157146
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Write an equation for the quadratic function graphed.
For each of the following quadratic functions, find the \(x\)-intercepts and \(y\)-intercepts.
| 7. \(y(x) = 2x^2+10x+12\) | 8. \(z(p)=3x^2+6x-9\) |
| 9. \(f(x)=2x^2-10x+4\) | 10. \(g(x) = -2x^2-14x+12\) |
| 11. \(h(t)=-4t^2+6t-1\) | 12. \(k(t) = 2x^2+4x-15\) |
The height of a ball thrown in the air is given by \(h(x) = -\frac{1}{12}x^2+6x+3\), where \(x\) is the horizontal distance in feet from the point at which the ball is thrown.
- How high is the ball when it was thrown?
- What is the maximum height of the ball?
- How far from the thrower does the ball strike the ground?
A javelin is thrown in the air. Its height is given by \(h(x)=-\frac{1}{20}x^2+8x+6\), where \(x\) is the horizontal distance in feet from the point at which the javelin is thrown.
- How high is the javelin when it was thrown?
- What is the maximum height of the javelin?
- How far from the thrower does the javelin strike the ground?