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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? $y=(x-2)(x+5)$
- Graph a (correct)
- Graph d
- Graph b
- Graph c
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?
- $y=(x-1)(x-1)$ (correct)
- $y=x^2+4$
- $y=x^2+2x+1$
- $y=x^2-1$
Which of the following functions best describes this graph?
Which of the following functions best describes this graph?
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? $y=x^2-8x+12$
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? $y=(x-4)(x+2)$
Which graph is defined by the function given below? $y=(x-3)(x-3)$
Which graph is defined by the function given below? $y=(x-3)(x-3)$
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? $y=x^2-2x-24$
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? $y=x^2+4x-32$
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.
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