Vertex form y = a(x - h)^2 + k: graph it and write it

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Milo has a swing's graph, y = 2(x - 3)² - 5. Rewrite it as y = 2x² + bx + c. Type b, then c, with a comma between.

   -12, 13
2. 2.

   Noah has a whale's jump graph, y = -(x + 2)² + 7 (very splashy). Rewrite it as y = -x² + bx + c. Type b, then c, with a comma between.

   -4, 3
3. 3.

   Ren has a fountain's graph, y = -2(x - 4)² + 9. Rewrite it as y = -2x² + bx + c. Type b, then c, with a comma between.

   16, -23
4. 4.

   Tala graphs a toy rocket's path on a grid. Write it as y = a(x - h)² + k. What are a, h and k? Type them in that order, with commas.

   -2, 3, -12
5. 5.

   Zee graphs a deep bowl on a grid. Write it as y = a(x - h)² + k. What are a, h and k? Type them in that order, with commas.

   4, -1, 12
6. 6.

   Bo graphs a tent roof on a grid. Write it as y = a(x - h)² + k. What are a, h and k? Type them in that order, with commas.

   -1, 3, -8
7. 7.

   Esme graphs a swing seat path on a grid. Write it as y = a(x - h)² + k. What are a, h and k? Type them in that order, with commas.

   5, 4, 8
8. 8.

   Jun has two graph tracings. How must the graph of y = (x - 1)² + 2 move to become the graph of y = (x - 4)² - 3?

   • Left 3, down 5
   • Right 4, down 3
   • Right 3, down 5
9. 9.

   Kira moves a kite curve on a grid. How must the graph of y = (x + 2)² + 1 move to become the graph of y = (x - 3)² + 4?

   • Left 5, up 3
   • Right 5, up 3
   • Right 3, up 4
10. 10.

    Milo slides a traced curve (the pencil needs sharpening). How must the graph of y = (x - 5)² move to become the graph of y = (x - 2)² - 6?

    • Right 2, down 6
    • Left 3, down 6
    • Right 3, down 6