The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −2x² — 8x. -8 -6 f(x) -5 -4 -3 -2 0 -1- -2- -3- -4 -5 -6- -7 -8- -9- -10- -11- -12- 1 2 3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −2x² – 8x.
0
-1-
-8
-7
-6
f(x)
-5
-4
-3
-2
-1
Both functions open downward.
-2
-3-
These are both the same function.
-4-
-5
-6-
-7-
-8
-9-
-10
-11-
-12-
The function f(x) has only one x-intercept, while g(x) has two x-intercepts.
The function f(x) has a higher maximum.
Both functions have an axis of symmetry at x = -2.
2
3
Transcribed Image Text:The function f(x) is shown in the graph and the function g(x) is defined as g(x) = −2x² – 8x. 0 -1- -8 -7 -6 f(x) -5 -4 -3 -2 -1 Both functions open downward. -2 -3- These are both the same function. -4- -5 -6- -7- -8 -9- -10 -11- -12- The function f(x) has only one x-intercept, while g(x) has two x-intercepts. The function f(x) has a higher maximum. Both functions have an axis of symmetry at x = -2. 2 3
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