Transformations Graphs Algebra 2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

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 linear parent function, f(x) = x, is transformed to g(x) = f(x - 3). Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

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• G

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• J

• K

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​ The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units

• F
• G
• H
• J

• F
• G
• H
• J

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​

The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units