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Questions and Answers
Which graph is defined by the function given below? $y=(x-2)(x+5)$
Which graph is defined by the function given below? $y=(x-2)(x+5)$
What is the vertex of the graph of the function below? $y=x^2+8x+12$
What is the vertex of the graph of the function below? $y=x^2+8x+12$
(-4,-4)
Which of the following functions best describes this graph?
Which of the following functions best describes this graph?
Which of the following functions best describes this graph?
Which of the following functions best describes this graph?
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What is the vertex of the graph of the function below? $y=x^2-8x+12$
What is the vertex of the graph of the function below? $y=x^2-8x+12$
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What are the vertex and x-intercepts of the graph of the function below? $y=(x-4)(x+2)$
What are the vertex and x-intercepts of the graph of the function below? $y=(x-4)(x+2)$
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Which graph is defined by the function given below? $y=(x-3)(x-3)$
Which graph is defined by the function given below? $y=(x-3)(x-3)$
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What are the vertex and x-intercepts of the graph of the function below? $y=x^2-2x-24$
What are the vertex and x-intercepts of the graph of the function below? $y=x^2-2x-24$
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What are the x-intercepts of the graph of the function below? $y=x^2+4x-32$
What are the x-intercepts of the graph of the function below? $y=x^2+4x-32$
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Which of the following functions best describes this graph?
Which of the following functions best describes this graph?
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Study Notes
Function Graphs and Features
- The function ( y = (x-2)(x+5) ) corresponds to graph A.
- The vertex of the quadratic function ( y = x^2 + 8x + 12 ) is located at (-4, -4).
- Graphs can be described by quadratic functions such as ( y = (x-1)(x-1) ).
- Another quadratic function describing a graph is ( y = x^2 + 9x + 18 ).
Vertex and X-Intercepts
- For the function ( y = x^2 - 8x + 12 ), the vertex is found at (4, -4).
- The function ( y = (x-4)(x+2) ) has a vertex at (1, -9) and x-intercepts at ( x = 4 ) and ( x = -2 ).
- The vertex of the function ( y = x^2 - 2x - 24 ) is at (1, -25) with x-intercepts at ( x = -4 ) and ( x = 6 ).
X-Intercepts
- The x-intercepts of the function ( y = x^2 + 4x - 32 ) are (-8, 0) and (4, 0).
Additional Function Descriptions
- The graph associated with the function ( y = (x-3)(x-3) ) corresponds to graph B.
- The function ( y = x^2 - 9x + 20 ) describes another specific graph.
Studying That Suits You
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Description
Test your knowledge of Algebra 2 concepts with these flashcards. Each card presents a question related to functions and graphs, allowing you to strengthen your understanding of key algebraic principles. Perfect for students preparing for exams or looking to review essential topics.
