Transformations of Functions FLASHCARD

Front

Name the parent function: constant, square root, linear, absolute value

Back

absolute value

Front

Name the parent function: cube root, square root, quadratic, linear

Back

square root

Front

The blue graph represents the graph of parent function, f(x)=x². Given this, what is the equation of the red graph?

Back

g(x) = x² - 5

Front

What type of function is shown? Options: linear, quadratic, square root, absolute value

Back

absolute value

Front

Effect of a-value of 5 on f(x) = 5(x + 3)² - 10

Back

Graph gets more narrow by a factor of 5

Front

Equation of a quadratic translated 5 units left and 3 units down from the parent function.

Back

f(x) = (x + 5)² - 3

Front

Describe the transformation of f(x) that results in g(x): g(x) = f(x) - 4

Back

f(x) has been translated down 4.

Front

Which notation indicates a reflection over the x-axis? Options: f(-x), -f(x)

Back

-f(x)

Front

Transformations of f(x) = (x-3)² + 5 from the original function f(x)?

Back

Right 3 and up 5

Front

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph? Options: -f(x), f(-x), f^-1(x), f(2x)

Back

-f(x)