GENERAL ANATOMY
INTRODUCTION TO GENERAL ANATOMY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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V(-2, -4)
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V(-2, 6)
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V(2, -4)
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V(2, 6)
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Detailed explanation-1: -Recall, that the General Form of a parabola is y = ax2 + bx + c. In order to find the vertex from this form, you must first find the x-coordinate of the vertex which is x =-b/2a. After you find the x-coordinate of the vertex, you will take this number and substitute for x in the parabola equation.
Detailed explanation-2: -Using y=a(x−h)2+k y = a ( x-h ) 2 + k, the general equation of the parabola with the vertex (−2, −4) and a=−2 is y=(−2)(x−(−2))2−4 y = (-2 ) ( x-(-2 ) ) 2-4 . Solve y=(−2)(x−(−2))2−4 y = (-2 ) ( x-(-2 ) ) 2-4 for y .
Detailed explanation-3: -y=x2−4. If the equation of a parabola is in the form: y=ax2+bx+c. we can find the x-coordinate of its vertex using the following formula: xvertex=−b2a. a=1, b=0, c=−4. xvertex=−02(1)=0. Now, we can plug this into the equation to find the y-coordinate: Vertex(0, −4) You can see the graph of this parabola below: 04-Mar-2018