Transformations of Functions (alg 2)

Front

Which equation below is a quadratic function translated up 5 units? Options: y = x² + 5, y = (x + 5)², y = 5x², y = -x² - 5

Back

y = x² + 5

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

Which equation is a quadratic function reflected over the x-axis and shifted up 2? Options: y = x² + 2, y = -x² + 2, y = x² - 2, y = -(x + 2)²

Back

y = -x² + 2

Front

Match the equation with the graph: y = (x - 2)² + 4, y = -(x - 4)² + 2, y = -(x - 2)² + 4, y = -(x + 2)² + 4

Back

y = -(x - 2)² + 4

Front

Transformations from f(x) = x² to g(x) = 5x² + 2

Back

Vertical Stretch of 5, Vertical Up 2

Front

Back

f(x)=3∣x−2∣−2

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

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

Back

g(x)=x²-5

Front

The blue graph is the parent function f(x)=|x|, the red graph must be: g(x)=|x+2|, g(x)=|x|+2, g(x)=|x-2|, g(x)=|x|-2

Back

g(x)=|x-2|

Front

Choose the graph that matches the equation.
y = |x - 1|

Back