Parent Functions and Transformations Practice

Front

What is the parent function of a square root function?

Back

f(x) = \sqrt{x}

Front

What is the parent function of an absolute value function?

Back

f(x) = |x|

Front

What transformation is applied to the function f(x) = -|x| - 7?

Back

Vertical reflection and downward shift by 7 units.

Front

How do you translate a quadratic function left by 4 units?

Back

y = (x + 4)^2.

Front

What does a vertical shrink by a factor of \frac{4}{5} mean?

Back

The graph is compressed vertically, making it flatter.

Front

What is the effect of shifting a function left 5 units?

Back

The entire graph moves 5 units to the left on the x-axis.

Front

What is the parent function of a quadratic function?

Back

f(x) = x^2.

Front

What transformation is represented by f(x) = \frac{1}{2}|x - 1| + 1?

Back

Compresses by \frac{1}{2}, shifts right 1, and up 1.

Front

What is the parent function of a cubic function?

Back

f(x) = x^3.

Front

How do you represent a vertical stretch by a factor of 3?

Back

Multiply the function by 3, e.g., f(x) = 3|x|.