Linear Functions Quiz

Aleisha graphed f(x) and g(x) = f(x) +7 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

• C. The graph of the function f(x) is translated to the right 7 unit to produce g(x).

• D. The graph of the function f(x) is translated to the left 7 unit to produce g(x).

• B. The graph of the function f(x) is translated down 7 unit to produce g(x).

• A. The graph of the function f(x) is translated up 7 unit to produce g(x).

Which answer choice describes how the graph of f(x) = x was transformed to create the graph of n(x) = x - 3?

• B. A horizontal shift to the left.

• A. A vertical shift up.

• D. A horizontal shift to the right.

• C. A vertical shift down.

The graph of f(x) = x - 2 was translated 4.5 units up to create the graph of function g. Which function represents g?

• D. g(x) = x + 2.5

• C. g(x) = (x + 2.5)

• B. g(x) = (x + 6.5)

• A. g(x) = x - 6.5

The graph of f(x) = x + 3 was translated 2 units down to create the graph of function h. Which function represents h?

• A. h(x) = x + 1

• B. h(x) = x + 5

• C. h(x) = (x - 1)

• D. h(x) = (x + 1)

Which answer choice describes how the graph of f(x) = x was transformed to create the graph of m(x) = x + 2?

• A. A vertical shift up.

• B. A horizontal shift to the left.

• C. A vertical shift down.

• D. A horizontal shift to the right.

John graphed f(x) and g(x) = f(x) - 2 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

• A. The graph of the function f(x) is translated up 2 units to produce g(x).

• B. The graph of the function f(x) is translated down 2 units to produce g(x).

• C. The graph of the function f(x) is translated to the right 2 units to produce g(x).

• D. The graph of the function f(x) is translated to the left 2 units to produce g(x).

Which answer choice describes how the graph of f(x) = x was transformed to create the graph of p(x) = x - 3?

• A. A vertical shift up.

• B. A horizontal shift to the left.

• C. A vertical shift down.

• D. A horizontal shift to the right.

The graph of f(x) = x + 4 was translated 3 units down to create the graph of function q. Which function represents q?

• A. q(x) = x + 1

• B. q(x) = x + 7

• C. q(x) = (x - 1)

• D. q(x) = (x + 1)

Emily graphed f(x) and g(x) = f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

• A. The graph of the function f(x) is translated up 2 units to produce g(x).

• B. The graph of the function f(x) is translated down 2 units to produce g(x).

• C. The graph of the function f(x) is translated to the right 2 units to produce g(x).

• D. The graph of the function f(x) is translated to the left 2 units to produce g(x).

A vertical translation shifts the graph _______?

• Up

• down

• Left

• your mami