Transformations
How does y=(x-3)2+4 Compare to the parent function y=x2
3 units right and 4 units up
What form can you use to easily find the vertex?
Vertex Form
factor x2+9x+8
(x+1)(x+8)
y=x2-19x+90
(9,0) and (10,0)
what is the missing term to complete the square
x2+7x+___
49/4
How does y=(x+6)2-46 Compare to the parent function y=x2
6 units left 46 units down
What form can you use to easily find the Y-Intercept?
Standard Form
Factor x2+x-6
(x-2)(x+3)
y=x(x+6)
(0,0) and (6,0)
what is the missing term to complete the square
x2+16x+___
64
How does y=-3(x-5)2+2 Compare to the parent function y=x2
Flipped
Stretched
shifted 5 units right and 2 units up
What form can you use to easily find the X-Intercepts or Roots?
Factored Form
Factor 81x2-144
(9x+12)(9x-12)
y=4x2+8x-192
(6,0) and ( -8,0)
Write the function in vertex form by completing the sqaure
y=2x2+20x+13
y=2(x+5)^2 -37
How does y=(x-3)(x-1) Compare to the parent function y=x2
1 unit left and 4 units down
Identify the form:
y=ax2+bx+c
Standard Form
Factor -x2+2x+35
-(x+5)(x-7)
y=4x2-1
(0.5,0) ad (-0.5, 0)
write the following function in vertex form by completing the square
y=x2-5x+4
y=(x-5/2)^2-11/4
How does y=2(x-2)(x-6) Compare to the parent function y=x2
4 units right 8 units down stretched
Identify the form:
y=(x-h)2+k
Vertex Form
Factor -6x2+2x+20
-2(3x+5)(x-2)
y=x2-100
(10,0) and (-10,0)
write the following in vertex form by completing the square
y=-x2-6x-2
y=-(x+3)^2+7