Features of a parabola from its graph or its equation
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Kira graphs a fountain's arc, y = -2x² + 20x - 7. What is the axis of symmetry? Write the number after x =.
Milo graphs a scooter ramp, y = 3x² - 42x + 1. What is the axis of symmetry? Write the number after x =.
Noah graphs a toy rocket path, y = -x² + 6x + 1. Does the graph have a maximum or a minimum, and what is it?
- A maximum of 1
- A maximum of 3
- A maximum of 10
- A minimum of 10
Pia graphs a dip in a trail map, y = x² + 10x + 19. Does the graph have a maximum or a minimum, and what is it?
- A maximum of -6
- A minimum of -5
- A minimum of -6
- A minimum of 19
Tala graphs a kite trick, y = -2x² - 12x - 10. Does the graph have a maximum or a minimum, and what is it?
- A maximum of -10
- A maximum of 8
- A minimum of 8
- A maximum of -3
Zee graphs a fruit bowl, y = x² - 4x + 7. What are the domain and range of the graph?
- Domain: x ≥ 2; range: y ≥ 3
- Domain: all real numbers; range: y ≥ 7
- Domain: all real numbers; range: y ≥ 3
- Domain: all real numbers; range: y ≤ 3
Bo graphs a skate ramp, y = 3x² + 12x + 2. What are the domain and range of the graph?
- Domain: all real numbers; range: y ≥ 2
- Domain: all real numbers; range: y ≥ -10
- Domain: x ≥ -2; range: y ≥ -10
- Domain: all real numbers; range: y ≤ -10
Esme graphs a ball toss, y = -2x² + 8x - 1 (the ball came back down, eventually). What are the domain and range of the graph?
- Domain: x ≥ 2; range: y ≤ 7
- Domain: all real numbers; range: y ≥ 7
- Domain: all real numbers; range: y ≤ 7
- Domain: all real numbers; range: y ≤ -1
Jun graphs a bike trail dip, y = x² - 6x + 3. For which inputs is the graph increasing?
- x > 3
- x > -6
- x < 3
Kira graphs a whale's jump, y = -x² - 4x + 1 (splash!). For which inputs is the graph increasing?
- x > -2
- x < 5
- x < -2