MCAP Algebra 1 Flashcards

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?

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

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

the b value, Initial Value Signup and view all the answers

What is a function?

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

What is a vertex?

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

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

(3, 5) Signup and view all the answers

What is slope in terms of a function?

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

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

2 Signup and view all the answers

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

3 to infinity Signup and view all the answers

What is the zero(s) of a function?

the x value when y = 0 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.

Description

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.