Selena Valladares Change the row below to fix the Marbleslide. y=2(x-4)² +2{x<5} "AREA powered by desmos ption LEGE 2 S 3 E D 4 C X X R LL % 5 V T G 6 Fix It #2 MacBook 7 B Y H U N * 8 J M * ( 9 K ** V- дв O L P command V E < 16 4 of 23 ? option Next Launch 20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Help fix the parabola
**Title: Fix It #2 Exercise**

---

**Instructions:**
Change the row below to fix the Marbleslide.

**Equation:**
\[ y = 2(x - 4)^2 + 2 \{ x < 5 \} \]

**Graph Explanation:**
- The graph represents a quadratic function.
- The equation \( y = 2(x - 4)^2 + 2 \) describes a parabola that opens upwards.
- The vertex of the parabola is at the point \((4, 2)\).
- The graph is plotted on a Cartesian coordinate system ranging from \(-4\) to \(20\) on the x-axis and from \(-4\) to \(12\) on the y-axis.

**Features:**
- The function is graphed using Desmos, a dynamic graphing calculator.
- Points of interest, represented by yellow stars, are present on the graph at certain coordinates which appear to be the targets for the Marbleslide.

**Objective:**
Modify the given equation row to align the function correctly so that the marbles (points) fall through the yellow stars when the slide is launched.

---
**Note:**
This exercise is part of a series designed to practice and understand quadratic functions and their properties, specifically the effect of translation and scaling transformations on the graph.
Transcribed Image Text:**Title: Fix It #2 Exercise** --- **Instructions:** Change the row below to fix the Marbleslide. **Equation:** \[ y = 2(x - 4)^2 + 2 \{ x < 5 \} \] **Graph Explanation:** - The graph represents a quadratic function. - The equation \( y = 2(x - 4)^2 + 2 \) describes a parabola that opens upwards. - The vertex of the parabola is at the point \((4, 2)\). - The graph is plotted on a Cartesian coordinate system ranging from \(-4\) to \(20\) on the x-axis and from \(-4\) to \(12\) on the y-axis. **Features:** - The function is graphed using Desmos, a dynamic graphing calculator. - Points of interest, represented by yellow stars, are present on the graph at certain coordinates which appear to be the targets for the Marbleslide. **Objective:** Modify the given equation row to align the function correctly so that the marbles (points) fall through the yellow stars when the slide is launched. --- **Note:** This exercise is part of a series designed to practice and understand quadratic functions and their properties, specifically the effect of translation and scaling transformations on the graph.
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