F-BF.3 - Translations MAAP Style & Review

Which function, j(x), represents the graph of the function g(x) = (x-4) +6 with a vertical shift 2 units down and a horizontal shift 5 units to the left

• j(x) = (x-9) + 8

• j(x) = (x-6) + 11

• j(x) = (x+1) + 8

• j(x) = (x+1) +4

Which function, k(x), represents the graph of the function h(x) = (x+3) - 5 with a vertical shift 3 units up and a horizontal shift 4 units to the right?

• k(x) = (x-1) - 2

• k(x) = (x+7) - 2

• k(x) = (x-1) - 8

• k(x) = (x+7) + 8

Which function, m(x), represents the graph of the function f(x) = (x-2) + 3 with a vertical shift 4 units down and a horizontal shift 3 units to the left?

• m(x) = (x-5) - 1

• m(x) = (x+1) - 1

• m(x) = (x-5) + 7

• m(x) = (x+1) + 7

Which function, n(x), represents the graph of the function p(x) = (x+1) - 4 with a vertical shift 5 units up and a horizontal shift 2 units to the right?

• n(x) = (x+3) + 1

• n(x) = (x-1) + 1

• n(x) = (x+3) - 9

• n(x) = (x-1) - 9

Students are shown the graph of f(x) and g(x).

If g(x)= f(x) + k what is the value of k?

(a)  

Students are shown the graph of f(x) and g(x).

If g(x) = f(x) + K, what is the value of k?

(a)  

A student writes the function g(x) = f(x) -3. Which statement is true?

• The student is correct because f(x) - 3 represents f(x) shifted horizontally 3 units to the left.

• The student is incorrect because f(x) - 3 represents f(x) shifted vertically 3 units to the up.

• The student is correct because f(x) - 3 represents f(x) shifted horizontally 3 units to the right.

• The student is incorrect because f(x) - 3 represents f(x) shifted vertically 3 units to the down.

Students are shown the graph of f(x) and g(x).

A student writes the function g(x) = f(x -3). Which statement is true?

• The student is correct because f(x- 3) represents f(x) shifted horizontally 3 units to the left.

• The student is incorrect because f(x - 3) represents f(x) shifted vertically 3 units to the up.

• The student is correct because f(x - 3) represents f(x) shifted horizontally 3 units to the right.

• The student is incorrect because f(x - 3) represents f(x) shifted vertically 3 units to the down.

Students are shown the graph of f(x) and g(x).

If a student correctly writes the function g(x) = f(x+k), what is the value of k?

(a)  

If a function g(x) = f(x) + k, what value of k makes (0,7) the y-intercept of g(x)?

• 5

• 6

• -5

• -6