M4T1 Practice #4

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x.

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

How does shifting a graph up affect its equation?

Back

Shifting a graph up by 'k' units results in adding 'k' to the function, changing f(x) to f(x) + k.

Front

What is the effect of stretching a graph vertically by a factor of 'a'?

Back

Stretching a graph vertically by a factor of 'a' multiplies the output of the function by 'a', changing f(x) to a*f(x).

Front

If a graph is shifted down 2 units, what is the new equation?

Back

If the original equation is f(x), the new equation after shifting down 2 units is f(x) - 2.

Front

What transformation occurs when the graph of f(x) = x is changed to g(x) = 3x + 5?

Back

The graph is stretched vertically by a factor of 3 and shifted up 5 units.

Front

What does it mean to shift a graph to the right by 'h' units?

Back

Shifting a graph to the right by 'h' units means replacing x with (x - h) in the function, changing f(x) to f(x - h).

Front

What is the transformation from f(x) = x to g(x) = -x?

Back

The transformation is a reflection over the y-axis.

Front

How do you determine the transformation from f(x) to g(x) = f(x) + k?

Back

The transformation is a vertical shift of the graph of f(x) by 'k' units.

Front

What is the effect of a negative coefficient in front of a function?

Back

A negative coefficient reflects the graph over the x-axis.