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Determine Whether the Following Statement Is True or False. The Graph of F(x)=(x+2)^2+2 Has Its Vertex at (2,2) Choose the Correct

Problemas

Determine whether the following statement is true or false. The graph of f(x)=(x+2)^2+2 has its vertex at (2,2) Choose the correct answer below. False True

Roztwór

Héctor professionell · Tutor durante 6 años
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Respuesta

False

Explicación

## Step 1The given function is \(f(x) = (x+2)^2 + 2\). This is a quadratic function in the form \(f(x) = a(x-h)^2 + k\), where , , and are constants. The vertex of the graph of this function is at the point \((h, k)\).## Step 2In the given function, and . Therefore, the vertex of the graph of this function is at the point \((-2, 2)\), not \((2, 2)\).