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When asked to write f(x)=2x2+16x−7 in vertex form, Carlos showed his work by writing the following: Step 1: f(x)=2(x2+8x)−7 Step 2: f(x)=2(x2+8x+16)−7+16 Step 3: f(x)=2(x+4)2+9 Is Carlos correct in his reasoning? Explain your reasoning.

When asked to write f(x)=2x2+16x−7 in vertex form, Carlos showed his work by writing the following: Step 1: f(x)=2(x2+8x)−7 Step 2: f(x)=2(x2+8x+16)−7+16 Step 3: f(x)=2(x+4)2+9 Is Carlos correct in his reasoning? Explain your reasoning.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
Problem 36WE
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When asked to write f(x)=2x2+16x−7 in vertex form, Carlos showed his work by writing the following: Step 1: f(x)=2(x2+8x)−7 Step 2: f(x)=2(x2+8x+16)−7+16 Step 3: f(x)=2(x+4)2+9 Is Carlos correct in his reasoning? Explain your reasoning.
When asked to write f (x) = 2r + 16x -7 in vertex form, Carlos showed his work by writing the following: Step 1: f (z) = 2 (r² + 8x) – 7 Step 2: f (x) = 2 (2² +8x +16)-7+ 16 Step 3: f (x) = 2(r+ 4) + 9 %3D Is Carlos correct in his reasoning? Explain your reasoning. Font Size A- 99
Transcribed Image Text:When asked to write f (x) = 2r + 16x -7 in vertex form, Carlos showed his work by writing the following: Step 1: f (z) = 2 (r² + 8x) – 7 Step 2: f (x) = 2 (2² +8x +16)-7+ 16 Step 3: f (x) = 2(r+ 4) + 9 %3D Is Carlos correct in his reasoning? Explain your reasoning. Font Size A- 99
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