Transformation of Functions

Front

What is the transformation of the function f(x) = x^3 when it is shifted down 4 units?

Back

f(x) = x^3 - 4

Front

How does the function f(x) = (x + 7)^2 transform compared to its parent function?

Back

It shifts horizontally left by 7 units.

Front

What is the equation for the transformation of y = |x| shifted left 3 units and up 2 units?

Back

y = |x + 3| + 2

Front

Match the equation y = (x - 2)^2 + 4 with its graph type.

Back

It represents a parabola that opens upwards with vertex at (2, 4).

Front

Which equation represents a quadratic function translated up 5 units?

Back

y = x^2 + 5

Front

What is the effect of the transformation f(x) = -x^2?

Back

It reflects the parabola across the x-axis.

Front

What does the transformation f(x) = (x - 3)^2 do to the parent function f(x) = x^2?

Back

It shifts the graph horizontally right by 3 units.

Front

How does the function f(x) = |x - 1| transform compared to f(x) = |x|?

Back

It shifts the graph horizontally right by 1 unit.

Front

What is the transformation of f(x) = x^2 + 2?

Back

It shifts the graph vertically up by 2 units.

Front

What does the transformation f(x) = -(x + 4)^2 do to the parent function f(x) = x^2?

Back

It reflects the parabola across the x-axis and shifts it left by 4 units.