Function: X. Key Features: x-intercepts: 6.0) y-intercept: L vertex: Is the vertex a maximum or minimum?:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Instructions: Complete each section to the best of your abilities.
1 Use the following functions to answer Parts A-D.
The function f(x) is represented with the
following equation:
The function g(x) is represented with the
following table of values:
f (x) = -2x2 + 8x
%3D
0.
1
1.5
3.
g(x)
4
4.5
4
The function h(x) is represented by the following
table of values:
4
8.
h(x)
24
32
24
Part A: Identify the key features for one of the functions listed above.
Function:
functiongex)
X-int:( 0)(め
Y. int: 4)
verier (5.4.5)
Key Features:
x-intercepts: 6.0)
max or mini
y-intercept:
vert Sthcen/shtink:
function: hLX)
vertex: (4
X-int:.0 C
Y- inti
Is the vertex a maximum or minimum?: velao:
onaxurmin naximum
verk SHach/Shink
vertical stretch/shrink:
Part B: Compare and contrast the key features of g(x) and h(x). A comparison of the two functions should
include a comparison of the x- and y-intercepts, vertex, whether the vertex is a maximum or minimum, and
the vertical stretch/shrink.
Transcribed Image Text:Instructions: Complete each section to the best of your abilities. 1 Use the following functions to answer Parts A-D. The function f(x) is represented with the following equation: The function g(x) is represented with the following table of values: f (x) = -2x2 + 8x %3D 0. 1 1.5 3. g(x) 4 4.5 4 The function h(x) is represented by the following table of values: 4 8. h(x) 24 32 24 Part A: Identify the key features for one of the functions listed above. Function: functiongex) X-int:( 0)(め Y. int: 4) verier (5.4.5) Key Features: x-intercepts: 6.0) max or mini y-intercept: vert Sthcen/shtink: function: hLX) vertex: (4 X-int:.0 C Y- inti Is the vertex a maximum or minimum?: velao: onaxurmin naximum verk SHach/Shink vertical stretch/shrink: Part B: Compare and contrast the key features of g(x) and h(x). A comparison of the two functions should include a comparison of the x- and y-intercepts, vertex, whether the vertex is a maximum or minimum, and the vertical stretch/shrink.
Part C: Compare and contrast the key features of f(x) and h(x). A comparison of the two functions
should include a comparison of the x- and y-intercepts, vertex, whether the vertex is a maximum or
minimum, and the vertical stretch/shrink.
Part D: Yezzi writes f(x) and g(x) using function notation in graphing/vertex form and shares her work
with Paulo. Paulo says, "The two functions are almost the same." Yezzi agrees and states that all you have to
do is translate f(x) to the right 0.5 units and down 3.5 units.
Do you agree or disagree with Yezzi? Justify your answer as a comparison of the two functions in graphing/
vertex form.
Transcribed Image Text:Part C: Compare and contrast the key features of f(x) and h(x). A comparison of the two functions should include a comparison of the x- and y-intercepts, vertex, whether the vertex is a maximum or minimum, and the vertical stretch/shrink. Part D: Yezzi writes f(x) and g(x) using function notation in graphing/vertex form and shares her work with Paulo. Paulo says, "The two functions are almost the same." Yezzi agrees and states that all you have to do is translate f(x) to the right 0.5 units and down 3.5 units. Do you agree or disagree with Yezzi? Justify your answer as a comparison of the two functions in graphing/ vertex form.
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