Graphing Function Representation

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

If the parent function is f(x) = 5^x

describe the transformations of g(x) = -3(5)^X + 4

• reflection over the x-axis, vertical stretch by a factor of 3, shifted up 4.

• reflection over the x-axis, shifted down 3.

• reflection over the x-axis, vertical shrink by a factor of 3 shifted up 4.

• reflection over the x-axis, shifted down 3.

Imagine Liam and Arjun are working on a population growth model of a rare species, represented by an exponential function. How does shifting this model horizontally on a graph affect its representation?

• The impact of shifting an exponential function horizontally is that it changes the position of the graph along the x-axis without altering its shape or steepness.

• Shifting horizontally affects the domain of the exponential function

• Shifting horizontally alters the y-intercept of the exponential function

• Shifting horizontally changes the steepness of the exponential function

How was the parent function shifted to obtain this graph?

• 3 units left and 4 units up

• 4 units right and 3 units down

• 4 units left and 3 units up

• 3 units right and 4 units down

Describe all transformations from the rational parent function g(x)=1/x to the given function f(x)

• Shift right 5 and shift up 7

• Shift left 7 and shift up 5

• Reflect over the x-axis, shift up 7

• Shift left 5 and shift up 7

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical compression by a factor of 3

• horizontal shift to the left 2 and vertical compression by a factor of 3

What are the transformations of this functions compared to the parent function y = √(x)?

• Horizontal right 5, vertical down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

• Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

• Horizontal right 5, Vertical down 2

If the original function is f(x), how will -f(x) transform f(x)?

• One way stretch, parallel to x-axis, with scale factor 1/a

• One way stretch, parallel to y-axis, with scale factor a

• Translation of f(x) with vector (t , s)

• Reflection of f(x) in the x-axis

• Reflection of f(x) in the y-axis

Which of the following represents the correct transformation of 2^x

• Horizontal Shift to the left by 7

• Vertical Shift to upward by 7

• Horizontal Shift to the right by 7

• Vertical shift downward by 7

What transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) -6

• It stayed the same

• reflects, shift up 3, left 6

• reflects, shift right 3, down 6

• reflects, shift left 3, down 6