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Warm Up April 17th. 1. What is the focus and directrix ? 2. What is the vertex and which direction does the parabola open?. Week 13 #4. Find the point(s) of intersection algebraically. Parabolas. Writing equations. If p is POSITIVE the parabola opens UP
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Warm Up April 17th 1. What is the focus and directrix? 2. What is the vertex and which direction does the parabola open?
Parabolas Writing equations
If p is POSITIVE the parabola opens UP • If p is NEGATIVE the parabola opens DOWN When xis squared
If p is POSITIVE the parabola opens RIGHT • If p is NEGATIVE the parabola opens LEFT When yis squared
Graph what you have been given. • Find the p-value. • Identify h and k. • Write the equation. Writing the equation of the parabola
Focus (0, 1) • Directrix: y = 5 1. Graph what you have. Find the p-value. Find (h, k). Graph Opens DOWN p = -2 So multiply it by 4. V (0, 3) F
Focus (2, 0) • Directrix: x = -1 2. Graph what you have. Find the p-value. Find (h, k). Graph Opens RIGHT p = 1.5 So multiply it by 4. V (.5, 0) F
Focus (0, -5) • Directrix: y = 0 3. Graph what you have. Find the p-value. Find (h, k). Graph Opens DOWN p = -2.5 So multiply it by 4. V (0, -2.5) F
Focus (-4, 0) • Directrix: x = -2 4. Graph what you have. Find the p-value. Find (h, k). Graph Opens LEFT p = -1 So multiply it by 4. F V (-3, 0)
Vertex (0, 0) • Focus (0, -2) 5. Graph what you have. Find the p-value. Find (h, k). Graph Opens DOWN p = -2 So multiply it by 4. V F
Vertex (0, 0) • Focus (0, -3) 6. Graph what you have. Find the p-value. Find (h, k). Graph Opens DOWN p = -3 So multiply it by 4. V F
Focus(0, 4) • Directrix: x = -4 7. Graph what you have. Find the p-value. Find (h, k). F V Graph Opens RIGHT p = 2 So multiply it by 4.
CW/HW worksheet