The Shape of a Parabola Worksheet with Answer Key

What's on the worksheet

1. Name the coefficient of x squared and say which way each parabola opens.
   y = 6x - x^2y = \dfrac{1}{2}x^2 - 9y = -3(x + 1)^2 + 4y = (2x - 1)(5 - x)y = (2x + 1)^2 - (x - 3)^2
2. Find a from a point, and say if the parabola is narrower or wider than a reference one.
   (2, 12)(−3, −3)(4, 8)(−1, −5)
3. Make a table for a quadratic, find the rises, and compare each rise with the last.
4. Check Kevin's claim about the lowest point from his table.
5. Name the fold line of a parabola from a point on it, then find b and the vertex.
6. Decide if one parabola can pass through four given points.
7. Hannah's chipped soccer ball: use its heights to describe the parabola.