Parent Functions Test 1A

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

What transformation occurs when the function f(x) = x^2 is changed to g(x) = (x + 4)^2?

Back

A horizontal translation 4 units to the left.

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞).

Front

How does the graph of y = -3x^2 differ from y = x^2?

Back

It reflects over the x-axis and is vertically stretched by a factor of 3.

Front

What does the transformation y = |x + 4| + 7 represent?

Back

A horizontal translation 4 units to the left and a vertical translation 7 units up.

Front

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

Back

It reflects the graph over the x-axis.

Front

What does a vertical stretch by a factor of k do to the graph of a function?

Back

It makes the graph narrower by a factor of k.

Front

What transformation is represented by the function y = -3|x + 1| - 3?

Back

Reflects over the x-axis, vertical stretch by 3, left 1, and down 3.

Front

What is the domain of the function f(x) = |x|?

Back

The domain is all real numbers, (-∞, ∞).

Front

What does a horizontal translation of a function involve?

Back

Shifting the graph left or right along the x-axis.