Question The functions f(x) = x² – 6xr + 9 and g(x) = f(x) + k are Answer ånd graphed below. y

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 71HP
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Please help and do these 2 questions and label the answer
Answer and explanation
Question
The functions f(x) = x² – 6x + 9 and g(x) = f(x) + k are graphed below.
y
f(x)
g(x)
Which value of k would result in the graph of g(x)?
(1) 0
(3) -3
(2) 2
(4) -2
2)
Hint; simplify, then factor,
then solve for x.
The solutions to (x + 4)2 – 2 =7 are
(1) –4 + 5
(3) -1 ànd -7
Step 1:
(X + 4)² – 2 = 7
X2 + 4X + 4X + 16 - 2 = 7
(2) 4 + 5
(4) 1 and 7
Transcribed Image Text:Answer and explanation Question The functions f(x) = x² – 6x + 9 and g(x) = f(x) + k are graphed below. y f(x) g(x) Which value of k would result in the graph of g(x)? (1) 0 (3) -3 (2) 2 (4) -2 2) Hint; simplify, then factor, then solve for x. The solutions to (x + 4)2 – 2 =7 are (1) –4 + 5 (3) -1 ànd -7 Step 1: (X + 4)² – 2 = 7 X2 + 4X + 4X + 16 - 2 = 7 (2) 4 + 5 (4) 1 and 7
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