Do the following for f(x) = (x + 2)^2 Sketch a graph of the equation. Identify t

Question

Do the following for f(x) = (x + 2)^2 Sketch a graph of the equation. Identify the vertex. Compare the graph to the graph of y = x^2. (State any transformations used.) Choose the correct graph below. The vertex is(-2, 0).(Type an ordered pair.) Choose the correct answer below. The graph of f(x) is the graph of y = x^2 shifted down 2 units. The graph of f(x) is the graph of y = x^2 shifted up 2 units. The graph of f(x) is the graph of y = x^2 shifted left 2 units. The graph of f(x) is the graph of y = x^2 shifted right 2 units.

Explanation / Answer

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Given

f(x) = (x + 2)^2

The vertex of the curve is (-2 , 0)

Sicne out of given curves only Option B has vertex at x = -2, hence option B should be the curve for given f(x)

From the plotted curve it is clear that the if g(x) = x^2 and f'(x) = (x+2 )^2 is g(x) shifted by 2 units in left direction.

Solution

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