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Homework Log. 4/18/16 Lesson 10 – 2 Day 1 Parabolas. Algebra II. Learning Objective. To graph parabolas To write equation of parabolas. Vocabulary. Pg. 2 in packet.
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4/18/16 Lesson 10 – 2 Day 1 Parabolas Algebra II
Learning Objective • To graph parabolas • To write equation of parabolas
Vocabulary Pg. 2 in packet Parabola – Set of all points in a plane that are the same distance from a fixed line (directrix) and a fixed point (focus) not on the line Focal Length (c) – distance between vertex and the focus Axis of Symmetry – cuts the parabola in half evenly
To get information from an equation Pg. 2 in packet • Get into vertex form by completing the square • Determine which way the parabola opens • Opens up/down • Opens left/right • Find the Vertex (h, k) • Find c • Sketch a graphing labeling Vertex, Focus, and Directrix • Find Focus & Directrix using Vertex & c & graph to help you
Parabola Equation Pg. 2 in packet • c = + opens up • c = – opens down • c = + opens right • c = – opens left
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 2 in packet 1. Directrix Vertex V(0, 0) F(0, –3) D: y = 3 Focus Opens down
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Directrix 2. Focus Vertex F(-1.5, 0) V(–3, 0) Opens right D: x =
Homework Log GO TO Pg. 3 in packet Lesson 10 – 2 Day 1 (cont.) Parabolas Stamping Fri’s HW – 650 #9-21 odd, 27, 28, 31, cc40
Pg. 3 in packet 4/19/16 Lesson 10 – 2 Day 1 (cont.) Parabolas Algebra II
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 3 in packet 3.
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 3 in packet 3. F D V V(2, 4) F(2, 4.25) D: y = 3.75 Opens “y” up
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 3 in packet 4.
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 3 in packet D 4. V(2, -4) F(2.25, -4) F V =0.25 Opens “x” right D: x = 1.75
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 3 in packet D 5. V(2, -1) F V F(1, -1) D: x = 3 Opens “x” left
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 3 in packet 6. F V(1, 0) V D F(1, 0.5) D: y = -0.5 Opens “y” up
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. Pg. 3 in packet 7.
Get into vertex form if it isn’t already. Find vertex, focus, and directrix. Sketch a graph. 7. V F V(-3, 2) F(-2, 2) Opens “x” right D D: x = -4
Pg. 4 in packet 4/19/16 Lesson 10 – 2 Day 2 Parabolas Algebra II
Write an equation of a parabola with the given information Pg. 4 in packet 1. Vertex at the origin, Focus (0, 2) V(0, 0) F c = 2 Opens up “y” V(h, k) V
Write an equation of a parabola with the given information Pg. 4 in packet 2. V(0, 0), Directrix x = 1.25 c = -1.25 Opens left “x” V(h, k) V D
Write an equation of a parabola with the given information Pg. 4 in packet 3. Vertex (3, 7), Focus (5, 7) c = 2 V(h, k) F V Opens right “x”
Write an equation of a parabola with the given information Pg. 4 in packet 4. Vertex (1, 4), Focus (1, 6) c = 2 F V(h, k) Opens up “y” V
Write an equation of a parabola with the given information Pg. 5 in packet 5. Focus (2, -3), Directrix y = -1 Opens down “y” D c = -1 F In middle V(2, -2) V(h, k)
Write an equation of a parabola with the given information Pg. 5 in packet 6. Focus (-1, -2), Directrix x = 2 c = -1.5 Opens left “x” D F In middle V V(h, k)
Write an equation of a parabola with the given information Pg. 5 in packet 7. Vertex (10, 2), Focus (10, 1) V(h, k) Opens down “y” V c = -1 F
Get into vertex form. Find vertex, focus, and directrix. Sketch a graph. Pg. 5 in packet 8.
#8 Cont’d Pg. 5 in packet 8. V(-2, -5) F F(-2, -4.5) D V D: y = -5.5 Opens “y” up