Vertex and Parent Function
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a vertex in a graph?
Back
The vertex of a graph is the point where the graph changes direction, often representing the maximum or minimum value of a function.
2.
FLASHCARD QUESTION
Front
How do you identify the vertex of a quadratic function in standard form?
Back
The vertex of a quadratic function in standard form, y = ax^2 + bx + c, can be found using the formula: x = -b/(2a). The y-coordinate can be found by substituting this x value back into the function.
3.
FLASHCARD QUESTION
Front
What is the vertex of the parent function y = x^2?
Back
The vertex of the parent function y = x^2 is (0, 0).
4.
FLASHCARD QUESTION
Front
How does the vertex of a graph affect its shape?
Back
The vertex determines the direction of the graph's opening (upward or downward) and the location of the maximum or minimum point.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
What is the significance of the vertex in application-based problems?
Back
The vertex often represents optimal solutions in real-world problems, such as maximum profit or minimum cost.
6.
FLASHCARD QUESTION
Front
What is the vertex of the function y = (x - 2)^2 + 3?
Back
The vertex of the function y = (x - 2)^2 + 3 is (2, 3).
7.
FLASHCARD QUESTION
Front
How can transformations affect the vertex of a function?
Back
Transformations such as translations, reflections, and stretches/compressions can change the position of the vertex in the coordinate plane.
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