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QuestionFind the vertex coordinates of the parabola defined by f(x)=−4(x+2)2+3f(x)=-4(x+2)^{2}+3. Provide as an ordered pair.

Studdy Solution

STEP 1

Assumptions1. The given function is a quadratic function in the form f(x)=a(x−h)+kf(x) = a(x-h)^ + k where (h, k) is the vertex of the parabola. . The vertex form of a parabola f(x)=a(x−h)+kf(x) = a(x-h)^ + k is used to easily identify the vertex of the parabola.

STEP 2

Identify the values of h and k from the given quadratic function. In the given function f(x)=−4(x+2)2+f(x)=-4(x+2)^{2}+, h is -2 and k is.

STEP 3

The vertex of the parabola is given by the ordered pair (h, k). Substitute the identified values of h and k.
The vertex is (-2,3).

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