Transformations of functions

Front

f(x) = 5x² + 2

Back

Stretch of 5
Up 2

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

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

What are the following transformations?
- f(x+2)

Back

reflection over the x axis and 2 units left

Front

Transformations of f(-x) - 4

Back

reflection over the y axis and 4 units down

Front

Transformations of the function compared to the parent function y = √(x)?

Back

Reflected over the x-axis, vertical stretch, and shifted right 5

Front

Equation of the graph: y = √(x - 3), y = √(x) + 3, y = √(x - 5) + 4, y = √(x + 5) + 4

Back

y = √(x - 5) + 4

Front

Which equation represents this graph? Options: f(x)=(x - 4)² - 3, f(x)=-(x - 4)² + 3, f(x)=(x - 4)² + 3, f(x)=-(x + 4)² + 3

Back

f(x)=-(x - 4)² + 3

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 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