Parabola Review Worksheet Answers

Math Analysis Review Sheet I.

Parabolas

For each of the following parabolas, given the Axis of Symmetry, Vertex, x-intercepts and y-intercepts. 2. y = -2(x+l) 2 +8 Axis of Symmetry

0

Axis of Symmetry X » "'

Vertex C®, 0

Vertex

y-intercept t$t i )

y-intercept

($. fey

x-intercept(s) Graph

3. y =

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

Axis of Symmetry "E ~ f

Axis of Symmetry

Vertex

Vertex U f ^

(- \-f -a.)

y-intercept

y-intercept ($ x-intercept(s) ("J^ pjQ'.fl J r "™ (* /

Graph

Graph

II. Find the equation 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

4- roots 4 and 8 passing through (6,3)

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

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

7. vertex (-2,5) through (0,8)

8. vertex (3,-8) passing through (-2,0) and (8,0)

9. vertex at the origin / V

I* it* ••*)*-* ^ IV. Find the point(s) of intersection (if any) of the following parabolas and lines: 1. y=2x+2 andy=-x2+4x+l

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

3. y+x--6 and y=x2 +6x