Quadratic Transformations: Graphing, Finding Min/Max, and Equations, Summaries of Law

A series of exercises on quadratic transformations, focusing on graphing, finding the vertex, focus, directrix, min/max values, domain, range, and increasing/decreasing intervals. It also includes practice problems for finding the equation of a parabola given the directrix, focus, and a point on the parabola.

Typology: Summaries

2022/2023

Uploaded on 01/07/2024

grayson-smith-1
grayson-smith-1 🇺🇸

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Warmup(9/22/22)
HW:
P61, #21-30,
#39-48
Optional
P73, #41-46
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

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Warmup(9/22/22) HW: P61, #21-30, #39- Optional P73, #41-

Vertex form

Quadratic Transformations Practice(1/5) Graph and label the vertex, focus, directrix Directrix: y = 4 7/ Focus = (1 , 5 1/8)

Quadratic Transformations Practice(2/5) Graph and label the vertex, focus, directrix Vertex: (2 , -1) Focus: (4 , -1) Directrix: x = 0

Quadratic Transformations Practice(3/5) Find the min or max, domain, range and where it’s increasing/decreasing Max? y = - Domain? (- ) Range? (- ,- Increasing? (- ) Decreasing? ( )

Quadratic Transformations -4x x Vertex? (2, -3) Directrix? x = 3 Focus? (1 , -3) Sideways

Focus and directrix (3,5) Directrix: y = 12 (a , 7) Given the directrix, focus and a point on the parabola, find the equation of the parabola 5 a = 3 a = 3 a = -3.

Focus and directrix (3,5) Directrix: y = 12 (-3.71 , 7) Given the directrix, focus and a point on the parabola, find the equation of the parabola (x+3.71) 2 (x+3.71) 2

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HW: P61, #21-30, #39- Optional P73, #41-

HW: P61, #21-30, #39- Optional P73, #41-

These are optional…