Vertex and Parent Function II

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertex in the context of a graph?
Back
The vertex is the point where the graph changes direction, often representing the minimum or maximum point of a function.
2.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.
3.
FLASHCARD QUESTION
Front
How do you identify the vertex of a quadratic function in standard form?
Back
For a quadratic function in standard form y = ax^2 + bx + c, the vertex can be found using the formula x = -b/(2a) and then substituting x back into the function to find y.
4.
FLASHCARD QUESTION
Front
What is the general shape of a quadratic function's graph?
Back
The graph of a quadratic function is a parabola, which opens upwards if the leading coefficient is positive and downwards if it is negative.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex represents the maximum or minimum value of the function, depending on the direction the parabola opens.
6.
FLASHCARD QUESTION
Front
How can transformations affect the vertex of a parent function?
Back
Transformations such as translations, reflections, and stretches/compressions can change the position of the vertex of a parent function.
7.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on the graph of a function?
Back
A vertical stretch makes the graph narrower, increasing the distance between points on the graph and the x-axis.
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