Transformations of Parent Functions Test

Front

What is the parent function of a cubic function?

Back

Cubic function: f(x) = x^3.

Front

What is the parent function of a quadratic function?

Back

Quadratic function: f(x) = x^2.

Front

What is the parent function of a square root function?

Back

Square root function: f(x) = √x.

Front

What is the parent function of an exponential function?

Back

Exponential function: f(x) = a^x.

Front

How do you translate the quadratic function f(x) = x^2 up 5 units?

Back

y = x^2 + 5.

Front

What transformation does g(x) = 5x^2 + 2 represent from f(x) = x^2?

Back

Vertical Stretch of 5 and Up 2.

Front

What transformation does y = -x^2 + 2 represent?

Back

Reflected over the x-axis and shifted up 2.

Front

How do you reflect the quadratic function f(x) = x^2 over the x-axis?

Back

y = -x^2.

Front

What is the effect of multiplying a function by a factor greater than 1?

Back

It results in a vertical stretch.

Front

What is the effect of adding a constant to a function?

Back

It results in a vertical shift.