5.3 Translating Parabolas

Vertex formForm: Just like absolute value graphs, you will

translate the parent functionh is positive, shift right; h is negative, shift

leftK is positive, shift up; k is negative, shift

downVertexAxis of Symmetry

x h

,h k

2y a x h k

GraphingEquation:

Parent function:

Translation:

Could drop back to plotting like 5.2

221 2

3y x

Writing Equations of ParabolasWhen given a picture, write the vertex form

of parabola Plug in the vertex from the graphPlug in another point on the parabolaFind aRewrite inputting a, h, and kEX: drawing from board

2y a x h k

2y a x h k

Writing Equations of ParabolasWhen given equation in standard formFind vertexInput a, h, & k into vertex formEX: write in vertex form

HW: p251-253 #4,6,8,12,14-34even, 52-56even, 68-74even

27 70 169y x x