Writing Quadratics using the Vertex

Worksheet by Erin Matthews
Writing Quadratics using the Vertex worksheet preview image
Subjects
Math
Grades
9
Language
ENG
Assignments
66 classrooms used this worksheet

Master writing quadratic equations by using the vertex form step-by-step!

1. Use the two points given on the graph below to write the equation of the function: Step 1: Substitute the VERTEX (h, k) for h and k in the vertex form of the quadratic equation. y = a(x – h)2 + kWhich answer has h and k substituted correctly (hint: you're substituting your VERTEX)?A: y = a(x - 0)2 + 5B: y = a(x - 1)2+ 3 A B Step 2: Substitute your given point for x and y in the equation.Which answer has x and y substituted correctly?A. 5 = a(0 - 1)2 +3B. 3 = a (1 - 0)2 + 5 A B When I plug in my given point to solve, a = 2. When I substitute a, h, and k into my equation, which of these is the correct equation?A. y = 5(x - 1)2 + 3B. y = 2(x - 1)2+ 3C. y = 2(x - 0)2+ 5 A B C

quadratic functions vertex form algebraic equations
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