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The graph of Ax), shown below, resembles the graph of G(X) = x2, but it hasbeen changed somewhat. Which of the following could be the equation ofFx)?600 = x2-5OTFC) = ?AO A. F(X) = 3(x - 2)2 - 2B. F(x) = -3(x - 2)2 - 2C. F(x) = -3(x+ 2)2 - 2D. F(x) = 3(x + 2)2 - 2

The graph of Ax shown below resembles the graph of GX x2 but it hasbeen changed somewhat Which of the following could be the equation ofFx600 x25OTFC AO A FX 3x class=

Respuesta :

The correct answer is option C

Explanation

First observation; the graph f(x) is n- shaped, so the coefficient of x^2 must be negative. This means option A and option D cannot be the answer

We have to channel our focus to option B or C

From the graph f(x), when x = -1, f(-1) = -5

Test option B and option C by substituting x= -1 into f(x) and check which options gives -5 as the answer

Testing option c

f(-1) = -3(-1 + 2)^2 -2

=-3(1) -2

= -3 - 2

=-5

f(-1) = -5

Since f(-1) = -5, which gives a correct value as we have on the graph,

Then the answer is option C