Exploring Parent Functions and Their Transformations

The output is always 0.

The output is always 1.

The output varies with the input.

The output is always k.

A horizontal line crossing the y-axis at k.

A line with a slope of 1 and a y-intercept of 0.

A U-shaped graph with a vertex at (0,0).

A V-shaped graph with a vertex at (0,0).

A U-shaped graph.

A V-shaped graph.

A line with a slope of 1.

A horizontal line.

(1,1)

(3,9)

(0,0)

(2,4)

It is a square root function.

It is an exponential function.

It is a quadratic function.

It is a linear function.

Because the square root of a negative number is zero.

Because the square root of a negative number is imaginary.

Because the square root of a negative number is positive.

Because the square root of a negative number is undefined.

It shifts up.

It shifts down.

It stretches vertically.

It shifts left or right.

A number was subtracted outside the function.

A number was added inside the function.

A number was subtracted inside the function.

A number was added outside the function.

It shifts the function right.

It shifts the function left.

It vertically stretches the function.

It horizontally compresses the function.

It reflects over the y-axis.

It shifts down.

It shifts up.

It reflects over the x-axis.