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Given a function f(x) = a(x−h)² + k where the line of symmetric lies at x=3 and has a root of 4. a) Find the value of a if the range for f(x) is [−2,∞). b) Sketch the graph of f(x) when x≤h. c) Express the function in its general form.

Given a function f(x) = a(x−h)² + k where the line of symmetric lies at x=3 and has a root of 4. a) Find the value of a if the range for f(x) is [−2,∞). b) Sketch the graph of f(x) when x≤h. c) Express the function in its general form.

Advanced Engineering Mathematics
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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This question is about function and graphs. Please provide me with the full solution for this question, which includes sketching a graph for that said question. Thanks in advance.
2. Given a function f(x)= a(x-h)² + k where the line of symmetric lies at x=3 and has a root of 4. a) Find the value of a if the range for f(x) is [-2,00). b) Sketch the graph of f(x) when x≤h. c) Express the function in its general form.
Transcribed Image Text:2. Given a function f(x)= a(x-h)² + k where the line of symmetric lies at x=3 and has a root of 4. a) Find the value of a if the range for f(x) is [-2,00). b) Sketch the graph of f(x) when x≤h. c) Express the function in its general form.
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