State the exact practical domain of this function in interval notation: x ∈ ___________________.
State the exact practical domain of this function in interval notation: x ∈ ___________________.
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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State the exact practical domain of this function in interval notation: x ∈ ___________________.
Transcribed Image Text:3. Graphing a Quadratic Function in General Form
A bride throws her wedding bouquet out to the crowd from the top of the church steps. The height of the
bouquet (h(x) is in meters) above the ground as a function of the horizontal distance travelled (x is in
meters) is given by
h(x) = -3x? + 6x +1
a) Use the vertex formula to find the exact coordinates of the vertex:
b) Find the initial height of the bouquet:
c) Graph the function, by hand on separate paper, using the information from parts a) and b). Check
your graph with DESMOS. You do not need to include this graph in your solution.
d) Determine the exact horizontal distance from the bride where the bouquet lands on the ground. Show
the steps in using the quadratic formula to find this value. Do not use a calculator!
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