Zeros of a quadratic, and writing one from its zeros or from a vertex and a point
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Ren graphs a soup bowl, y = (x + 1)(x - 5). What is the vertex? Type its x-value, then its y-value, with a comma between.
Zee graphs a fountain's arc, y = -(x + 4)(x - 2) (no splashing the graph). What is the vertex? Type its x-value, then its y-value, with a comma between.
Ari graphs a scooter ramp, y = 3(x + 6)(x + 2). What is the vertex? Type its x-value, then its y-value, with a comma between.
Bo's bowl graph has zeros 1 and 5 and passes through (3, -8). In y = a(x - 1)(x - 5), what is a?
Esme's fountain graph has zeros -2 and 4 and passes through (2, 24). In y = a(x + 2)(x - 4), what is a?
Jun's rainbow graph has zeros -5 and -1 and passes through (-3, 8). In y = a(x + 5)(x + 1), what is a?
Kira's kite graph has zeros 2 and 8 and passes through (4, 24) (a windy day). In y = a(x - 2)(x - 8), what is a?
Luz has a ramp graph, y = (x - 4)(x + 7). Rewrite it as y = x² + bx + c. Type b, then c, with a comma between.
Noah has a bowl graph, y = 2(x - 1)(x + 3) (a very round bowl). Rewrite it as y = 2x² + bx + c. Type b, then c, with a comma between.
Pia has a rainbow graph, y = -(x - 2)(x - 5). Rewrite it as y = -x² + bx + c. Type b, then c, with a comma between.