transformations of functions graphs

Front

Which equation is shown? Options: y = (x-2)², y = (x+2)²

Back

y = (x+2)²

Front

Name the parent function. Options: linear, quadratic, cubic, logarithmic

Back

quadratic

Front

Which function DOES NOT represent a horizontal shift of the function f(x)=x²? Options: g(x)= x²+3, g(x)= (x+3)², g(x)= (x-3)², g(x) =(x-2)²

Back

g(x)= x²+3

Front

Transformation of y = (x - 4)²

Back

Shift RIGHT

Front

Transformation of y = x² + 4

Back

Shift UP

Front

How did we transform from the parent function?
y = x² + 2
Options: horizontal shift up, vertical shift up, horizontal shift down, vertical shift down

Back

vertical shift up

Front

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units? Options: y = x² - 5, y = x² + 5, y = (x - 5)², y = (x + 5)²

Back

y = x² + 5

Front

Match the equation to its description: Right 2 and up 2, Left 2 and up 2, Right 2 and down 2, Left 2 and down 2

Back

Right 2 and up 2

Front

If the blue is f(x)=x², the red must be

Back

g(x)=(x-3)²

Front

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²? Options: a vertical translation 4 units up, a vertical translation 4 units down, a horizontal translation 4 units to the left, a horizontal translation 4 units to the right

Back

a horizontal translation 4 units to the left