FIND EQUATION OF PARABOLA WITH VERTEX AND POINT WORKSHEET

If V is the vertex, find the equation of the quadratic function with graph:

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

1)  y = -1(x - 2)2 + 4

2)  y = 2(x - 2)2 - 1

3)  y = -2(x - 3)2 + 8

4)  y = 2/3(x - 4)2 - 6

5)  y = -2(x - 2)2 + 3

6)  y = 2(x - 1/2)2 - (3/2)

Use the description of the parabola to write its equation in vertex form.

Problem 1 :

A parabola with vertex (1, 2) ; passes through (2, 3)

Solution

Problem 2 :

A parabola with vertex (0, -3) ; passes through (3, 0)

Solution

Problem 3 :

A parabola with vertex (-1, 4) ; passes through (-2, 3)

Solution

Problem 4 :

Problem 5 :

Problem 6 :

What is the equation for the parabola shown in the graph ?

1)  f(x) = (x – 1)2 + 2

2)  f(x) = (1/3)x2 - 3

3)  f(x) = -1(x + 1)2 + 4

4)  y = (1/4)(x + 1)2 – 2 and y = (1/4) (x2 + 2x – 7)

5)  y = (x - 2)2 + 3 and  x2 – 4x + 7

6)  f(x) = -(x – 2)2 + 3

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