A2CP.Minor Mastery S1 2024

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the linear equation for the total cost to download 30 songs from a music app that charges $2 for the app and $1.29 per song.

Back

y = 1.29(30) + 2

Front

What type of function is represented by the equation y = 2x^2 + 3x - 7?

Back

Quadratic function.

Front

What is the maximum height of an object launched upward at 64 ft/s from a height of 80 feet, represented by the equation s(t) = –16t^2 + 64t + 80?

Back

144 ft.

Front

What type of function has a table that shows a pattern within a pattern?

Back

Quadratic function.

Front

What is the general form of a quadratic function?

Back

A quadratic function can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you identify a quadratic function from a graph?

Back

A quadratic function's graph is a parabola, which opens either upwards or downwards.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots of the quadratic equation: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.