Parent functions and transformations 1st sem final review

Front

What is the parent function of the square root?

Back

The parent function is y = √x.

Front

What is the parent function of cubic functions?

Back

The parent function is y = x³.

Front

What is the parent function of linear functions?

Back

The parent function is y = x.

Front

What is the parent function of quadratic functions?

Back

The parent function is y = x².

Front

What is the absolute value parent function?

Back

The parent function is y = |x|.

Front

What transformation occurs when you shift the graph of y = x² to the right by 3 units?

Back

The new function is y = (x - 3)².

Front

What transformation occurs when you reflect the graph of y = x² over the x-axis?

Back

The new function is y = -x².

Front

What is the effect of multiplying the parent function y = x² by a factor of 2?

Back

The new function is y = 2x², which stretches the graph vertically.

Front

What is the effect of adding 3 to the parent function y = x?

Back

The new function is y = x + 3, which shifts the graph up by 3 units.

Front

What is the parent function of exponential functions?

Back

The parent function is y = a⋅b^x, where a is a constant and b > 0.