Transformations on Parent Functions

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

Let f(x) = x² + 8. Which function would have a graph that is 2 units down of the graph of f?

• g(x) = x² + 6

• g(x) = x² + 10

• g(x) = (x - 2)² + 6

• g(x) = (x +2)² + 6

Let f(x) = |x + 1|. Which function would have a graph that is 5 units down of the graph of f?

• g(x) = |x + 1| + 5

• g(x) = |x + 1| - 5

• g(x) = |x + 6|

• g(x) = |x - 4|

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Let f(x) = |x + 1|. Which function would have a graph that is 5 units left of the graph of f?

• g(x) = |x + 1| + 5

• g(x) = |x + 1| - 5

• g(x) = |x + 6|

• g(x) = |x - 4|

Let f(x) = |x|. Which function would have a graph that is 4 units down of the graph of f?

• g(x) = |x| + 4

• g(x) = |x| - 4

• g(x) = |x + 4|

• g(x) = |x - 4|

Let f(x) = x² + 8. Which function would have a graph that is 5 units right of the graph of f?

• g(x) = x² + 13

• g(x) = x² + 3

• g(x) = (x - 5)² + 8

• g(x) = (x +5)² + 8

Let f(x) = (x + 2)² + 3. Which function would have a graph that is 2 units right and 3 units up of the graph of f?

• g(x) = x² + 6

• g(x) = (x + 4)² + 6

• g(x) = x²

• g(x) = (x + 4)²

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• 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