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**Graph Analysis** The image shows a coordinate plane with two quadratic functions graphed on it. - **Blue Graph**: The equation \( y = x^2 \). - This is the parent function of a quadratic equation, which is a parabola centered at the origin (0, 0). - **Red Graph**: The equation \( y = (x - 3)^2 \). - This parabola is the same shape as the parent function but is shifted horizontally. - The graph is moved 3 units to the right, with its vertex at (3, 0). **Question** True or False: The graph was shifted 3 units to the right from the parent function. - Options: - ○ True - ○ False The correct answer is "True" since the red graph is indeed shifted 3 units to the right compared to the parent function.

**Graph Analysis** The image shows a coordinate plane with two quadratic functions graphed on it. - **Blue Graph**: The equation \( y = x^2 \). - This is the parent function of a quadratic equation, which is a parabola centered at the origin (0, 0). - **Red Graph**: The equation \( y = (x - 3)^2 \). - This parabola is the same shape as the parent function but is shifted horizontally. - The graph is moved 3 units to the right, with its vertex at (3, 0). **Question** True or False: The graph was shifted 3 units to the right from the parent function. - Options: - ○ True - ○ False The correct answer is "True" since the red graph is indeed shifted 3 units to the right compared to the parent function.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Graph Analysis** The image shows a coordinate plane with two quadratic functions graphed on it. - **Blue Graph**: The equation \( y = x^2 \). - This is the parent function of a quadratic equation, which is a parabola centered at the origin (0, 0). - **Red Graph**: The equation \( y = (x - 3)^2 \). - This parabola is the same shape as the parent function but is shifted horizontally. - The graph is moved 3 units to the right, with its vertex at (3, 0). **Question** True or False: The graph was shifted 3 units to the right from the parent function. - Options: - ○ True - ○ False The correct answer is "True" since the red graph is indeed shifted 3 units to the right compared to the parent function.
Transcribed Image Text:**Graph Analysis** The image shows a coordinate plane with two quadratic functions graphed on it. - **Blue Graph**: The equation \( y = x^2 \). - This is the parent function of a quadratic equation, which is a parabola centered at the origin (0, 0). - **Red Graph**: The equation \( y = (x - 3)^2 \). - This parabola is the same shape as the parent function but is shifted horizontally. - The graph is moved 3 units to the right, with its vertex at (3, 0). **Question** True or False: The graph was shifted 3 units to the right from the parent function. - Options: - ○ True - ○ False The correct answer is "True" since the red graph is indeed shifted 3 units to the right compared to the parent function.
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