MCAP Algebra 1 Flashcards
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Questions and Answers

What is the formula to find the vertex of a quadratic function?

x = -b/2a

What is a rational number?

a number that can be expressed as the quotient or fraction of two integers

What is ALWAYS the domain for a quadratic function?

(-∞, ∞)

What is the standard form of a quadratic function?

<p>f(x) = ax^2 + bx + c</p> Signup and view all the answers

What is ALWAYS the Y-intercept in a linear function (mx+b)?

<p>the b value, Initial Value</p> Signup and view all the answers

What is a function?

<p>a relationship between inputs where an input is related to an output(s)</p> Signup and view all the answers

What is a vertex?

<p>the point of intersection of the parabola and the axis of symmetry (the maximum or minimum)</p> Signup and view all the answers

What is the vertex of the equation y = 3(x - 3)^2 + 5?

<p>(3, 5)</p> Signup and view all the answers

What is slope in terms of a function?

<p>a unit change in x will result in a change in y by the amount of b (the m value in mx + b)</p> Signup and view all the answers

What is the slope of the equation y = 2x + 3?

<p>2</p> Signup and view all the answers

If x > 3, then what part of the graph is shaded?

<p>3 to infinity</p> Signup and view all the answers

What is the zero(s) of a function?

<p>the x value when y = 0</p> Signup and view all the answers

Study Notes

Quadratic Functions and Their Properties

  • The vertex of a quadratic function can be found using the formula: x = -b/2a.
  • The domain of any quadratic function is always (-∞, ∞), meaning it includes all real numbers.
  • The standard form of a quadratic function is represented as f(x) = ax² + bx + c.
  • A vertex is defined as the intersection of the parabola with its axis of symmetry, indicating the maximum or minimum point on the graph.

Functions and Their Characteristics

  • A rational number can be expressed as the quotient of two integers, such as a/b where b ≠ 0.
  • A function is defined as a relationship where each input is associated with one output.
  • In a linear function represented as mx + b, the b value signifies the Y-intercept, or initial value of the function.

Slope and Its Interpretation

  • The slope of a function indicates how much the output (y value) changes for a unit change in the input (x value), represented by the coefficient m in mx + b.
  • For the linear function y = 2x + 3, the slope is exactly 2.

Graphical Analysis

  • If x > 3, the shaded portion of the graph corresponds to the region from 3 to infinity, illustrating where the inequality holds true.
  • The zero(s) of a function are the x-values where the output (y) equals zero.

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Test your knowledge with these Algebra 1 flashcards. Each card covers key concepts such as quadratic functions, rational numbers, and their properties. Perfect for quick reviews and mastering the essentials of Algebra 1.

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