Graph y = ax^2 + bx + c, and match equations, tables and graphs
Grade 9 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Esme graphs a swing's path with y = x² - 2x - 5. What is the output in the table row with input -4?
Jun maps a dip in a bike trail with y = x² + 5x - 3. What is the output in the table row with input -2?
Kira graphs a bowl with y = 2x² - 12x + 5. Its mirror (axis of symmetry) is x = -b/(2a), with a = 2 and b = -12. What is that x?
Luz maps a valley with y = x² + 8x + 3. Its mirror (axis of symmetry) is x = -b/(2a), with a = 1 and b = 8. What is that x?
Milo sketches a rainbow, y = -2x² + 12x + 1 (colors later). Its mirror (axis of symmetry) is x = -b/(2a), with a = -2 and b = 12. What is that x?
Noah graphs a swing with y = 3x² - 30x + 4. Its mirror (axis of symmetry) is x = -b/(2a), with a = 3 and b = -30. What is that x?
Pia graphs y = -x² + 6x - 2 to plan a rainbow mural. Does the graph open up or down?
- Up, because x² is never negative
- Down, because a = -1 is below 0
- Up, because b = 6 is above 0
Ren graphs y = 2x² - 8x - 3 for a bowl design. Does the graph open up or down?
- Down, because b = -8 is below 0
- Down, because c = -3 is below 0
- Up, because a = 2 is above 0
Tala graphs y = -3x² + 12x + 1 for a frog's jump (the frog did not ask for a graph). Does the graph open up or down?
- Up, because b = 12 is above 0
- Up, because x² is never negative
- Down, because a = -3 is below 0
Zee graphs y = x² - 10x - 4 for a skate ramp. Does the graph open up or down?
- Down, because c = -4 is below 0
- Down, because b = -10 is below 0
- Up, because a = 1 is above 0