2Consider the given function p (x)=x´+9x+ 17.(a) Write the function in vertex form.(b) Identify the vertex.(c) Determine the x-intercept(s).(d) Determine the y-intercept(s).(e) Sketch the function.(f) Determine the axis of symmetry.(g) Determine the minimum or maximum value of the function.(h) Write the domain and range in interval notation.Write your answers in exact form.

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Answered: Consider the given function p(x)=x+…

Consider the given function p(x)=x+ 9x+17. (a) Write the function in vertex form. (b) Identify the vertex. (c) Determine the x-intercept(s).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.3: Solving Quadratic Equations By Graphing

Problem 42HP

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

2
Consider the given function p (x)=x´+9x+ 17.
(a) Write the function in vertex form.
(b) Identify the vertex.
(c) Determine the x-intercept(s).
(d) Determine the y-intercept(s).
(e) Sketch the function.
(f) Determine the axis of symmetry.
(g) Determine the minimum or maximum value of the function.
(h) Write the domain and range in interval notation.
Write your answers in exact form.

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Step 2 : Calculating the vertex form

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Step 3 : Determining the vertex

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Step 4 : Determining the x intercept.

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