Algebra 2 Parabola Review Flashcards

Questions and Answers

What is the parent function of a parabola?

y = x^3

y = √x

y = x^2 (correct)

y = 2x + 1

What is the vertex form of a quadratic equation?

y=a(x-h)^2+k

What is the standard form of a quadratic equation?

ax^2+bx+c

What is the formula for the axis of symmetry of a parabola?

x=-(b)/2a Signup and view all the answers

What is a Vertex AOS?

(Axis of symmetry, plug in AOS back into original equation to find y value) Signup and view all the answers

What is the domain of a parabola?

all real numbers Signup and view all the answers

How is the range of a parabola determined?

Max - (-∞, y vertex) or minimum (Y vertex, ∞) Signup and view all the answers

A parabola pointing upward has a minimum value.

True Signup and view all the answers

A parabola pointing downward has a maximum value.

True Signup and view all the answers

Study Notes

Parabola Review

Parent Function: Represented by the equation y = x², serves as the simplest form of a parabola.
Vertex Form: Expressed as y = a(x-h)² + k, where (h, k) denotes the vertex of the parabola, and 'a' determines the parabola's width and direction.
Standard Form: Written as ax² + bx + c, this format highlights the coefficients which can aid in identifying the parabola's orientation and placement.
Axis of Symmetry: Calculated using x = -b/(2a), this line divides the parabola into two equal halves, crucial for determining vertex and graph shape.
Vertex AOS: The vertex of the parabola is found by plugging the axis of symmetry value back into the original equation. It indicates the highest or lowest point on the graph, depending on the direction of the parabola.
Domain: The domain of a parabola encompasses all real numbers, indicating that x can take any value.
Range: The range is determined by whether the parabola has a maximum or minimum point:
- If minimum: (Y vertex, ∞)
- If maximum: (-∞, y vertex)
Minimum: Occurs when the parabola opens upwards, indicating that the lowest point is at the vertex.
Maximum: Takes place when the parabola opens downwards, indicating that the highest point is at the vertex.

Description

Test your knowledge on parabola-related concepts with these flashcards! This quiz covers essential definitions such as parent function, vertex form, and more. Perfect for mastering the fundamentals before your Algebra 2 exam.