Transformations of Parent Functions

Front

Which transformation will occur if f(x) = x is replaced with f(x) + 2? Options: Translation left 2 units, Translation right 2 units, Vertical translation up by 2 units, Reflection across the x-axis.

Back

Vertical translation up by 2 units.

Front

Transformation on f(x) = x to get g(x) = -f(x)

Back

Reflection across the x-axis.

Front

How did the equation shift from the parent function? y = f(x - 4)

Back

Shift right by 4

Front

Equation for horizontal stretch by factor of 2, reflection over x-axis, shift down 4 of f(x) = x? Options: f(-2x - 4), f(-1/2x) - 4, -f(2x) - 4, -f(1/2x) - 4

Back

-f(1/2x) - 4

Front

Transformation of y = (x - 4)²

Back

Shift RIGHT

Front

If the blue is f(x)=x², the red must be: g(x)=(x+3)², g(x)=(x-3)², g(x)=x²+3, g(x)=x²-2

Back

g(x)=(x-3)²

Front

Equation for the given graph: f(x) = (x - 2)² - 1, f(x) = (x + 2)² - 1, f(x) = -(x + 2)² - 1, f(x) = -(x - 2)² - 1

Back

f(x) = (x + 2)² - 1

Front

Equation for the given graph: f(x) = -(x + 2)² - 4, f(x) = -(x - 2)² - 4, f(x) = -3(x - 2)² - 4, f(x) = -3(x + 2)² - 4

Back

f(x) = -3(x - 2)² - 4

Front

Transformations of the function compared to the parent function? Options: Shifted down 2, Shifted up 2, Shifted left 2, Shifted right 2

Back

Shifted left 2

Front

What type of function is shown? Options: cube root, square root, logarithm, exponential

Back

square root