Unit 5 Review

Solving Quadratics

100

Solve for x by factoring and using the zero product property. 

0=x^2+6x+5

x= -1, x= -5

200

Solve for x using the Quadratic Formula. 

0=x^2-4x+3

x=3, x=1

300

Solve for x by completing the square. 

0=x^2+2x+17

x= -1 + 4i

x= -1 - 4i

Writing Equations

100

Write a possible equation for a parabola that has x-intercepts at (3,0) and (-4,0)

y=(x-3)(x+4)

200

Write a possible equation for a parabola that has a vertex at (-5,7)

y=(x+5)^2+7

300

Write a possible equation for a parabola that has a y-intercept at (0,8)

y=x^2+3x+8

Converting Between Forms

100

Convert from standard form to factored form. 

y=2x^2-8x+6

y=2(x-1)(x-3)

200

Convert from standard form to vertex form. 

y=x^2+2x+11

y=(x+1)^2+10

300

Convert from vertex form to standard form. 

y=(x+3)^2-4

y=x^2+6x+5