Aim 35 Vertex Form of a parabola.notebook
1. (­1, 3)
2. (4, ­2)
3. (3­,1)
4. (­5, 1/2)
5. none
6. (4, 2)(2, ­4)
7. November 16, 2016
2√2
√21
√11
Aim 35 Vertex Form of Parabolas
HW Solutions
8. (3, 2)(­1,­2)
9. (6, 0), (3,3)
10. (1,2) (­1,4)
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Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
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Aim 35 Vertex Form of a parabola.notebook
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Aim 35 Vertex Form of a parabola.notebook
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Aim 35 Vertex Form of a parabola.notebook
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If light were to approach a mirror of various shapes, how would the light rays be reflected?
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Aim 35 Vertex Form of a parabola.notebook
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Aim 35 Vertex Form of a parabola.notebook
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Aim 35 Vertex Form of a parabola.notebook
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Aim 35 Vertex Form of a parabola.notebook
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Aim 35 Vertex Form of a parabola.notebook
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Locus Definition of a Parabola: The set of all points equidistant from a point (focus) and a line (directrix).
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Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
(x­h)2 =4p(y­k)
Vertex Form of a Parabola
1
2
­k
y= (x­h)
4p
(h,k) coordinates of vertex
p=distance from the vertex to the focus
p>0 "Happy" Parabola
p<0 "Sad" parabola
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Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
1
4
Consider the equation: y= (x­2)2+4
Vertex:
p=
focus:
Directrix:
Axis of Symmetry:
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Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
Consider the equation: Vertex:
p=
focus:
Directrix:
Axis of Symmetry:
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Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
Consider the equation: Vertex:
p=
focus:
Directrix:
Axis of Symmetry:
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Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
Put the equation y=x2+4x­2 in vertex form. 15
Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
Given the equation y=x2+4x+3 a. Express the equation in vertex form.
b. Find the vertex
c. Find the focus
d. " " directrix
e. "
" axis of symmetry
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Aim 35 Vertex Form of a parabola.notebook
November 16, 2016
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