The graph of the function y = x^2-x-2 is shown below.

Which of the following shows the correct key features of the graph?

A. vertex (1/2,-2 1/4), axis of symmetry x = x -intercepts at (-1, 0) and (2, 0), y-intercept at (-2, 0).

B. vertex (1/2,-2 1/4), axis of symmetry x = -2 1/4, -intercepts at (-1, 0) and (2, 0), y-intercept at (0,-2).

C. vertex (1/2,-2 1/4), axis of symmetry x = -2 1/4, x -intercepts at (-1, 0) and (2, 0), y-intercept at (0,-2).

D. vertex (1/2,-2 1/4), axis of symmetry x = 1/2, x -intercepts at (-1, 0) and (2, 0), y-intercept at (0,-2).

3 answers

The correct key features of the graph are:

A. vertex (1/2,-2 1/4), axis of symmetry x = 1/2, x-intercepts at (-1, 0) and (2, 0), y-intercept at (0,-2).
The function g(x) = x^2 + 3. The function f(x) = g(x+2).

The function f(x) is shifted horizontally

select a value

A. 2 units to the left of g(x)

B. 2 unit to the right of g(x)

C. The function is not shifted horizontally from g(x)
The function f(x) = g(x + 2) is shifted horizontally 2 units to the left of g(x).

Therefore, the correct answer is:

A. 2 units to the left of g(x)
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