Transformations Algebra Two from Graphs

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= 12x + 18, vertical stretch by a factor of 3

• g(x)= 36x + 54

• g(x)= 4x + 6

• g(x)= 36x + 18

• g(x)= 4x + 18

• vertical stretch factor 2 and translate up 3

• vertical stretch factor 2 and translate left 3

• vertical stretch factor 2 and translate down 3

• translate right 2 and up three

The linear function f(x) = x - 3, is transformed to h(x) = 2(x - 3). How has the graph changed.

• The slope changes by a factor of 2 and the y-intercept does not change.

• Both the slope and y-intercept change by a factor of 2.

• The slope does not change. The y-intercept changes by a factor of 2.

• The slope and y-intercept DO NOT change.

The linear equation f(x) = 5x, is transformed to k(x) = 5x - 6. How has the graph of the function changed.

• The slope and y-intercept DO NOT change.

• The slope changes by a factor of -6 and the y-intercept does not change.

• The slope and y-intercept change by a factor of -6.

• The slope does not change. The y-intercept changes by a decrease of 6.

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

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

is transformed so that it maps onto  . Which equation would correctly represent  ?

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I