ALGEBRA 2 TUTORIAL
Chapter 5 Section 1
Graphing Quadratic Functions
*SOLUTION*

Practice: a)) y = -2 ( x + 3 )2 -4 Step1))The function is in vertex form y = a ( x - h ) 2 +k Step2)) It has a vertex of ( -3, -4 ) so the axis symmetry is -3 Step3)) ( x + 3 ) 2 gives the standard form equation. ( x + 3 ) 2 -> x2 + 6x + 9 Step4)) Put any numbers in y = -2 ( x + 3 )2 -4 to find the points. y = -2 ( -1 + 3 )2 -4 y = -2 ( 2 )2 -4 y = -2 ( 4 ) -4 y = -8 - 4 y = -12 y = -2 ( -2 + 3 )2 -4 y = -2 ( 1 )2 -4 y = -2 ( 1 ) -4 y = -2 - 4 y = -6 y = -2 ( -4 + 3 )2 -4 y = -2 ( -1 )2 -4 y = -2 ( 1 ) -4 y = -2 - 4 y = -6 y = -2 ( -5 + 3 )2 -4 y = -2 ( -2 )2 -4 y = -2 ( 4 ) -4 y = -8 - 4 y = -12 Step5)) Make a table. X Y -1 -2 -3 -4 -5 -12 -6 -4 -6 -12 Step6)) Graph it.

Practice: b)) y= 5/4 ( x - 3 )2 Step1)) The function is in vertex form y = a ( x - h ) 2 +k Step2)) It has a vertex of ( 3, 0 ) so the axis symmetry is 3 Step3)) ( x - 3 ) 2 gives the standard form equation. ( x - 3 ) 2 -> x2 - 6x + 9 Step4)) Put any numbers in y= 5/4 ( x - 3 )2 to find the points. y= 5/4 ( 1 - 3 )2 y= 5/4 ( -2 )2 y= 5/4 ( 4 ) y = 20/4 y = 5 y= 5/4 ( 2 - 3 )2 y= 5/4 ( -1 )2 y= 5/4 ( 1 ) y = 5/4 y = 1.25 y= 5/4 ( 4 - 3 )2 y= 5/4 ( 1 )2 y= 5/4 ( 1 ) y = 5/4 y = 1.25 y= 5/4 ( 5 - 3 )2 y= 5/4 ( 2 )2 y= 5/4 ( 4 ) y = 20/4 y = 5 Step5)) Make a table. X Y 1 2 3 4 5 5 1.25 0 1.25 5 Step6)) Graph it.