Graph y = ax^2 + bx + c, and match equations, tables and graphs
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Esme graphs a skate ramp with y = x² - 6x + 5. What is the vertex? Type its x-value, then its y-value, with a comma between.
Jun graphs a cereal bowl with y = 2x² - 12x + 11. What is the vertex? Type its x-value, then its y-value, with a comma between.
Milo draws a lake bottom on a map with y = x² + 10x + 22. What is the vertex? Type its x-value, then its y-value, with a comma between.
Pia sorts graph cards for y = x² + 4x - 5. Which graph matches the equation?
- Opens down, vertex (-2, -9), crosses the y-axis at -5
- Opens up, vertex (2, 7), crosses the y-axis at -5
- Opens up, vertex (0, -5), crosses the y-axis at -5
- Opens up, vertex (-2, -9), crosses the y-axis at -5
Ren sorts graph cards for y = 2x² + 8x - 3 (one card has a juice stain). Which graph matches the equation?
- Opens up, vertex (0, -3), crosses the y-axis at -3
- Opens up, vertex (2, 21), crosses the y-axis at -3
- Opens up, vertex (-2, -11), crosses the y-axis at -3
- Opens down, vertex (-2, -11), crosses the y-axis at -3
Tala matches y = -x² - 6x - 5 to a graph of a ball's toss. Which graph matches the equation?
- Opens down, vertex (-3, 4), crosses the y-axis at -5
- Opens down, vertex (3, -32), crosses the y-axis at -5
- Opens up, vertex (-3, 4), crosses the y-axis at -5
- Opens down, vertex (0, -5), crosses the y-axis at -5
Zee's table for a fountain sketch, y = x² + 2x - 5, has the row 3 | 10. Another input gives the same output. What is that input?
Ari's table for a ramp, y = x² - 6x + 2, has the row -1 | 9. Another input gives the same output. What is that input?
Bo's table for a whale's leap, y = -x² + 8x, has the row 2 | 12 (the whale is very proud). Another input gives the same output. What is that input?
Esme's table for a bowl, y = 2x² + 4x - 3, has the row 2 | 13. Another input gives the same output. What is that input?