Parabola Review Worksheet

Math Analysis Review Sheet I.

Parabolas

For each of the following parabolas, given the Axis of Symmetry, Vertex, x-intercepts and y-intercepts.

1. y = 2x 2 +l

2. y = -2(x+l) 2 +8

Axis of Symmetry ___

Axis of Symmetry

Vertex

Vertex

y-intercept

y-intercept

x-intercept(s) Graph

x-intercept(s)_ Graph

3. y = (l/2)(x+l)(x-3)

4. y = -2(x+3)(x-5)

Axis of Symmetry

Axis of Symmetry

Vertex

Vertex

y-intercept

y-intercept

x-intercept(s)

x-intercept(s)

Graph

Graph

II. Find the equation in the form y = a(x-h)2 +k for each of the parabolas described below: 1. Vertex (2,3) passing through (4,7)

2. Vertex (-1,3) passing through (0,5)

3. Vertex (-3,-2) with y-intercept 12

III. Find the equation in the form y = a(x-rootl)(x-root2) for each of the parabolas below: 1. roots 4 and 8 passing through (6,3)

2. x-intercepts -1 and 5 passing through (3,7)

3. zeroes of 1 and 6 with y-intercept 2

IV. Find the point(s) of intersection (if any) of the following parabolas and lines: 1. y=2x+2 andy=-x +4x+i

2. y=(-l/2)x +1/2 and y=x2-4x-4

3. y+x=-6 and y=x2z +6x