Transformations of Functions

Front

f(x) = 5x² + 2

Back

Vertical Stretch of 5
Up 2

Front

Equation of the red graph if the blue graph is the parent function. Options: g(x) = x² - 5, g(x) = x² + 5, g(x) = (x - 5)², g(x) = (x + 5)²

Back

g(x) = x² - 5

Front

Equation of the red graph given the blue graph is the parent function: g(x) = x³ + 1, g(x) = x³ - 1, g(x) = (x - 1)³, g(x) = (x + 1)³

Back

g(x) = (x - 1)³

Front

What are the following transformations:
f(-x) - 4

Back

reflection over the y axis and 4 units down

Front

Transformations in -2f(x - 1) + 2: Shift 1 unit down, Shift 1 unit up, Shift 1 unit left, Shift 1 unit right

Back

Shift 1 unit right

Front

Describe the transformation that occurred: h(x) = 1/5f(x)

Back

Compressed Vertically

Front

Transformations of the function compared to the parent function?

Back

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

Front

Which is the correct equation for this function?
Options: f(x)=3∣x−2∣−2, f(x)=1/3∣x+2∣−2, f(x)=3∣x+2∣−2, f(x) = 1/3∣x−2∣+2

Back

f(x)=3∣x−2∣−2

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 describes the transformation of shifting f(x)=x³ seven units up? Options: x³+7, x³-7, (x-7)³, (x+7)³

Back

x³+7