Vertex Form: Reading, Converting and Graphing Worksheet with Answer Key

What's on the worksheet

1. Read the vertex and the range of each parabola from its equation.
   y = (x - 9)^2 - 4y = -5(x + 6)^2 + 2y = \dfrac{1}{4}x^2 - 3y = -2(x - 7)^2y = 1 - 3(x + 2)^2
2. Write the equation of each parabola in vertex form from given facts.
3. Graph a parabola, listing the vertex and four more points with a good step size.
4. Write a quadratic in vertex form, then give the vertex and range of a stretched version.
5. Write a downward quadratic in vertex form and find the numbers t that give two, one or no solutions.
6. Describe how to slide one parabola onto another, and explain a limit.
7. Write the vertex form of a parabola from its zeros and greatest value.
8. Show two parabolas share exactly one point and find it.
9. Log flume ride: write the height of the channel as a quadratic in vertex form.