Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 61E
Related questions
Question
![Republic of the Philippines
Department of Education
Parada National High School
MATH 9
REMEMBER:
Notice that the graph of x) = x+ 2 has the
The graph of the funetion of
same shape as the graph of fEx) x. exceept that the
k. where a
the form (x)- ax
is a real number not equal to
zero and k is a positive real
number, is the same as graph
of f(x) - ax exoopt that its
vertex is k units above the
origin.
graph of X) = x+ 2 has shirted or translated 2 units
above the origin. That is, its vertex at (0, 2).
Consider the equation when k is -2. This time.
the function becomes Rx) - x- 2. The graph of it is
a parabola similar to the graph of Rx) - xexcept that
The graph of the function of
the form r() - ax +k, where a
is a real number not equal to
zero and k is a negative real
number, is the same as graph
of r(a) - ax? except that its
vertex is A units below the
origin.
it has shifted 2 units down from the origin. The vertex
in at (0, -2).
ACTIVITY 1: Given the following graphs of quadratic function, identify the value of the variables
h and k and tell whether if lal is positive or negative.
1.
4.
3444 i2X
Vaue of h
Value of h:
Value of k
Value of k:
Sign of lal
Sign of lal
5.
Value of h:
Value of k
Value of t
Sign of lal:
Value of k
Sgn d ai. -
3.
Value of h:
Value of k
Sign of lal
2
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Transcribed Image Text:Republic of the Philippines
Department of Education
Parada National High School
MATH 9
REMEMBER:
Notice that the graph of x) = x+ 2 has the
The graph of the funetion of
same shape as the graph of fEx) x. exceept that the
k. where a
the form (x)- ax
is a real number not equal to
zero and k is a positive real
number, is the same as graph
of f(x) - ax exoopt that its
vertex is k units above the
origin.
graph of X) = x+ 2 has shirted or translated 2 units
above the origin. That is, its vertex at (0, 2).
Consider the equation when k is -2. This time.
the function becomes Rx) - x- 2. The graph of it is
a parabola similar to the graph of Rx) - xexcept that
The graph of the function of
the form r() - ax +k, where a
is a real number not equal to
zero and k is a negative real
number, is the same as graph
of r(a) - ax? except that its
vertex is A units below the
origin.
it has shifted 2 units down from the origin. The vertex
in at (0, -2).
ACTIVITY 1: Given the following graphs of quadratic function, identify the value of the variables
h and k and tell whether if lal is positive or negative.
1.
4.
3444 i2X
Vaue of h
Value of h:
Value of k
Value of k:
Sign of lal
Sign of lal
5.
Value of h:
Value of k
Value of t
Sign of lal:
Value of k
Sgn d ai. -
3.
Value of h:
Value of k
Sign of lal
2
(]
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