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Transformations of Functions: Shifts & Reflections | DSAT Math Topic 7

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Transformations of Functions: Shifts & Reflections | DSAT Math Topic 7

18 просмотров · 6 дней назад
Math with Joseph
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18 просмотров · 6 дней назад
Topic 7 of "DSAT Math: The Essential Concepts." Learn how translations slide a graph left, right, up, and down, and how reflections flip it across the x-axis or y-axis, so you can write the new equation or find a new intercept on the Digital SAT. Then watch two SAT-style questions solved step by step. 📘 Follow along with the free PDF guide, "DSAT Math: The Essential Concepts": https://math-with-joseph.kit.com/7611a63751 ⏱ Chapters 0:00 Two big ideas 0:15 Translations: sliding a graph 1:30 Reflections: flipping a graph 2:26 Recap 2:37 Your turn: try Examples 1 & 2 3:21 Example 1: shift a line 2 units down, find the x-intercept 5:30 Example 2: shift 9x + 15y = 90 left 3 units, find the y-intercept ✏️ Practice problems in this video Example 1: A table gives three points on line p. Line q is line p translated 2 units down. What is the x-intercept of line q? Example 2: The graph of 9x + 15y = 90 is translated 3 units to the left. What is the y-coordinate of the new y-intercept? ⏮️ Previous lesson, Topic 6, Exponential Functions:    • Exponential Functions: Percent Change, Gro...   ▶️ Next lesson, Topic 8, Ratios in Similar Figures:    • Ratios in Similar Figures: Length, Area & ...   📚 Watch the whole series in order:    • DSAT Math: The Essential Concepts   👨‍🏫 Joseph Pak | B.A. Mathematics, UT Austin | Texas-certified math teacher | 18+ years teaching 🔔 Subscribe for step-by-step DSAT, AP Precalculus, and AP Calculus lessons:    / @mathwithjoseph   📸 Instagram: https://www.instagram.com/math.with.joseph/ #DSAT #SATMath #Transformations