Zeros of a quadratic, and writing one from its zeros or from a vertex and a point
Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Ren graphs a valley on a hiking map, y = (x + 2)(x - 4). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.
Tala graphs a fruit bowl, y = (x + 5)(x + 2) (the grapes are not on the graph). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.
Zee graphs a skate ramp, y = 2(x - 1)(x - 6). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.
Ari graphs a tent roof, y = -(x + 3)(x - 2). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.
Bo's kite-string graph crosses the x-axis at x = 2 and x = -4. Which equation has these zeros?
- y = (x - 4)(x + 2)
- y = (x - 4)(x - 2)
- y = (x + 4)(x - 2)
Esme's rainbow graph crosses the x-axis at x = -1 and x = 5 (a double rainbow would need two graphs). Which equation has these zeros?
- y = (x + 1)(x - 5)
- y = (x - 1)(x - 5)
- y = (x - 1)(x + 5)
Jun's swing graph crosses the x-axis at x = 3 and x = -6. Which equation has these zeros?
- y = (x - 6)(x - 3)
- y = (x + 6)(x - 3)
- y = (x - 6)(x + 3)
Luz graphs a ball bounce, y = (x - 3)(x + 5). Where does the graph cross the y-axis? Give the y-value.
Milo graphs a mixing bowl, y = (x + 3)(x + 8). Where does the graph cross the y-axis? Give the y-value.
Pia graphs a toy rocket arc, y = -3(x - 2)(x + 1) (three, two, one, graph!). Where does the graph cross the y-axis? Give the y-value.