Parent Functions Flashcard

Front

Back

y = -Ix + 2I - 1

Front

Transformations of y = f(x - 4)^3 - 2

Back

horizontal shift to the right 4 and vertical shift down 2

Front

Which parent function matches the graph? Options: y = |x|, y = ∛(x), y = x², y = a⋅b^x

Back

y = x²

Front

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

Back

absolute value

Front

Back

Correct Answer: y = Ix - 1I + 3

Front

Which equation below is a quadratic function translated left 4 units? Options: y = x² + 4, y = (x + 4)², y = (x - 4)², y = 4x²

Back

y = (x + 4)²

Front

What is the equation of this graph? Options: f(x) = -(x + 1)² + 3, f(x) = -(x - 1)² + 3, f(x) = -(x + 1)² - 3, f(x) = -(x + 1)² - 3

Back

f(x) = -(x - 1)² + 3

Front

Equation of the graph: f(x) = (x + 2)² - 3, f(x) = (x - 2)² - 3, f(x) = |x + 2| - 3, f(x) = |x - 2| - 3

Back

f(x) = |x + 2| - 3

Front

f(x) = -√(x) - 2

Back

Reflect over x-axis
Down 2

Front

If the blue is f(x)=x², then the red must be (Options: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²)

Back

g(x)=x²-5