Graph y = ax^2 + bx + c, and match equations, tables and graphs
Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
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Use the table
input x output y 0 8 1 3 2 0 3 -1 4 0 5 3 6 8 Jun finds a table on a scrap of graph paper. Which equation makes this table?
- y = x² + 6x + 8
- y = x² - 6x - 1
- y = x² - 6x + 8
- y = -x² + 6x + 8
Luz keeps a table for a bowl design. Which equation makes this table?
- y = 2x² - 4x - 6
- y = 2x² - 4x - 8
- y = x² - 2x - 6
- y = 2x² + 4x - 6
Milo keeps a table for a frog's hop (the frog keeps hopping off the page). Which equation makes this table?
- y = -x² - 4x - 5
- y = -2x² - 8x - 5
- y = 2x² + 8x - 5
- y = -2x² + 8x - 5
Noah graphs a swing's path on a grid. Which equation makes this graph?
- y = 2x² - 8x + 5
- y = 2x² + 8x + 5
- y = x² - 4x + 5
- y = 2x² - 8x - 3
Pia graphs a fountain's arc on a grid. Which equation makes this graph?
Graph on a grid (each square is one unit): a parabola opening down, vertex (1, 3), through (-1, -5), (0, 1), (2, 1) and (3, -5). Graph on a grid (each square is one unit): a parabola opening down, vertex (1, 3), through (-1, -5), (0, 1), (2, 1) and (3, -5). −2 −1 1 2 3 4 −6 −5 −4 −3 −2 −1 1 2 3 4 0 - y = -2x² + 4x + 1
- y = -2x² - 4x + 1
- y = 2x² - 4x + 1
- y = -x² + 2x + 1
Ren graphs the inside of a mixing bowl on a grid. Which equation makes this graph?
Graph on a grid (each square is one unit): a parabola opening up, vertex (-1, -4), through (-3, 8), (-2, -1), (0, -1) and (1, 8). Graph on a grid (each square is one unit): a parabola opening up, vertex (-1, -4), through (-3, 8), (-2, -1), (0, -1) and (1, 8). −4 −3 −2 −1 1 2 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 0 - y = 3x² + 6x - 4
- y = 3x² - 6x - 1
- y = x² + 2x - 1
- y = 3x² + 6x - 1
Zee fills in a table for a kite's dip, y = 2x² - 5x + 1. What is the output in the row with input -2?
Ari fills in a table for a rocket sketch, y = -3x² + 2x + 7. What is the output in the row with input -2?
Bo fills in a table for a bowl design, y = 3x² + 4x - 5. What is the output in the row with input -2?
Esme fills in a table for a frog's leap, y = -2x² - 5x + 3 (ribbit). What is the output in the row with input -3?