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

What's on the worksheet

1. Read the vertex and range of each parabola straight 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 the given description.
3. Graph a parabola in vertex form with a table and give its intercepts.
4. Write a quadratic in vertex form and find the vertex and range after a vertical stretch.
5. Write a quadratic in vertex form and find how many solutions g(x) = t has.
6. Describe the slide that moves one parabola onto another, and explain why a different one cannot.
7. Write the vertex form of a parabola from its x-intercepts and greatest value.
8. Show two parabolas share exactly one point, and explain why this holds for a whole family.
9. Word problem: the height of a log flume channel between two crests.