1. a) Complete the square to put the following function in vertex form for graphing a parabola. Explain how the formula x= is used to determine the vertex. 2a b) State the vertex, the domain, the range, and the axis of symmetry. c) On what intervals is the function is increasing, decreasing, or constant and write its maximum or minimum value. d) Find the real zeros of the quadratic function using the quadratic formula. How is a zero different from an x-intercept? How are they related? e) Graph the parabola on the axes provided. f(x) =-2x +4x+1 2. Find the equation of the line containing the point (-2,5) and that is perpendicular to the line 2x+4y =-1.
1. a) Complete the square to put the following function in vertex form for graphing a parabola. Explain how the formula x= is used to determine the vertex. 2a b) State the vertex, the domain, the range, and the axis of symmetry. c) On what intervals is the function is increasing, decreasing, or constant and write its maximum or minimum value. d) Find the real zeros of the quadratic function using the quadratic formula. How is a zero different from an x-intercept? How are they related? e) Graph the parabola on the axes provided. f(x) =-2x +4x+1 2. Find the equation of the line containing the point (-2,5) and that is perpendicular to the line 2x+4y =-1.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:1. a) Complete the square to put the following function in vertex form for graphing a
parabola. Explain how the formula x=
is used to determine the vertex.
2a
b) State the vertex, the domain, the range, and the axis of symmetry. c) On what intervals is
the function is increasing, decreasing, or constant and write its maximum or minimum value.
d) Find the real zeros of the quadratic function using the quadratic formula. How is a zero
different from an x-intercept? How are they related?
e) Graph the parabola on the axes provided.
f(x) =-2x +4x+1
2. Find the equation of the line containing the point (-2,5) and that is perpendicular to
the line 2x+4y =-1.
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