Transformations Pre Assessment

• The graph of f is shifted 6 units up to create the graph of g.

• The graph of f is wider than the graph of g

• The graph of f is shifted 6 units down to create the graph of g.

• The graph of f is more narrow than the graph of g.

Answer explanation

Subtraction outside of parentheses.

Which statement best describes the change from the linear parent function to the equation g(x) = 12x ?

• The graph of g is steeper than the linear parent function.

• The graph of g is less steep than the linear parent function.

• The graph of g was shifted down from the linear parent function.

• The graph of g was shifted up from the linear parent function.

Answer explanation

Multiplying by a number greater than one makes the graph more steep.

The solid black graph (y=x²) was transformed to produce the dotted red graph, which has the form f(x)=a(x-h)²+k. What is the value of k?

• 4

• 3

• -3

• -1

Determine the transformations from the graph of y=x^3 to f\left(x\right)=\left(x-1\right)^3+4.

• Shift left 1 unit, up 4 units

• Shift right 1 unit, up 4 units

• Shift left 1 unit, down 4 units

• Shift right 1 unit, down 4 units

• a

• f

• c

• d

Find the equation of the dotted red graph.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.

• f(x) has been translated to the left 4.

• f(x) has been translated up 4.

• f(x) has been translated down 4.

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 vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

How did the equation shift from the parent function? y=x+2

• translated up 2

• translated down 2

• steeper

• translated right 2