Front

Evaluate f(-2) if f(x) = x + 3

Back

1

Front

Complete the function notation below: f(____) = 214

Back

1990

Front

Describe the transformation of the function g(x) = f(x) + 3 from the linear parent function f(x) = x.

Back

g(x) is shifted up 3 units

Front

If the linear function y = 3x - 4 is translated 5 units to the right, what is the new equation?

Back

y = 3(x - 5) - 4

Front

Describe the transformation from the graph of f to the graph of g if graph g is shifted up 6 units.

Back

Graph g shifted up 6 units

Front

What is the definition of a linear function?

Back

A function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

What does the slope of a linear function represent?

Back

The rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a linear function?

Back

The point where the graph of the function intersects the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the effect of adding a constant to a function, such as f(x) + c?

Back

It shifts the graph vertically by c units; if c is positive, it shifts up, and if c is negative, it shifts down.