Horizontals Translations

When translating left or right on a coordinate plane, what coordinate is affected?

• x-coordinate

• y-coordinate

Point M is translated using this rule. 
(x, y) ----> (x - 1, y) 
How was it translated?

• 1 unit down

• 1 unit up

• 1 unit right

• 1 unit left

Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?

• R'(–5, 1), S'(–1, 1), and T'(–1, –4)

• R'(–5, –1), S'(3, –1), and T'(–1, –4)

• R'(–1, –1), S'(3, –1), and T'(3, –6)

• R'(–5, –1), S'(–1, –1), and T'(–1, –6)

If the blue graph 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

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Which equation is shown?

• y = (x-2)²

• y = (x+2)²

In Exercises 1-6, use the graphs of f and g to describe the transformation from the graph of f to the graph of g. The graph of g is a (a)   translation ___ units ____ of the graph of f.

• reflection

• x-axis

• vertical

• horizontal

• shrink

• stretch

In Exercises 1-6, use the graphs of f and g to describe the transformation from the graph of f to the graph of g. The graph of g is a ​​___ translation ​ (a)   units ____ of the graph of f.

• 4

• 2

• 1

• 5

• 6

• 0.5