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

Answer Key - Grade 9 Math Worksheet - Building Confidence

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

1. 1.

   Milo graphs a bowl with y = (x - 3)² + 2. What is the vertex? Type its x-value, then its y-value, with a comma between.

   3, 2
2. 2.

   Noah graphs a swing's path with y = (x + 4)² - 1. What is the vertex? Type its x-value, then its y-value, with a comma between.

   -4, -1
3. 3.

   Pia graphs a skate ramp with y = 2(x - 1)² - 5 (helmets on). What is the vertex? Type its x-value, then its y-value, with a comma between.

   1, -5
4. 4.

   Tala slides a cut-out of the graph of y = x² across graph paper. How must it move to make the graph of y = (x + 4)² - 1?

   • Left 1, down 4
   • Left 4, down 1
   • Right 4, down 1
5. 5.

   Ari moves the graph of y = x² on a map grid (the map is upside down). How must it move to make the graph of y = (x - 6)² - 3?

   • Left 6, down 3
   • Right 6, down 3
   • Left 3, up 6
6. 6.

   Bo traces the graph of y = x² and slides the tracing. How must it move to make the graph of y = (x + 1)² + 7?

   • Right 1, up 7
   • Left 1, up 7
   • Right 7, down 1
7. 7.

   Esme fills in a table for y = 2(x - 1)² + 3, a bowl design. What is the output in the row with input 4?

   21
8. 8.

   Jun fills in a table for y = -(x + 2)² + 5, a basketball shot. What is the output in the row with input 1?

   -4
9. 9.

   Kira fills in a table for y = 3(x - 2)² - 4, a skate ramp. What is the output in the row with input -1?

   23
10. 10.

    Luz fills in a table for y = -2(x + 1)² + 6, a frog's leap (the frog is on a break). What is the output in the row with input 2?

    -12