Question

Which of the following parabolas has its turning point in the second quadrant of the coordinate plane? a. y = (x + 1)^2 - 2 b. y = (x - 1)^2 - 2 c. y = -(x + 1)^2 - 2 d. y = (x + 2)^2 + 1 e. y = (x - 2)^2 + 1

Answer 1

The parabola that has its turning point in the second quadrant of the coordinate plane is d. y = (x + 2)² + 1, because its vertex or turning point is at (-2,1).

Therefore, option D is correct.

Step-by-step explanation:

The

turning point

of a parabola, also known as the vertex, is the point at which the parabola changes direction. It's given by the point (-h, k) in the form y=a(x-h)²+k.

The second quadrant of the coordinate plane is where x is negative and y is positive. If we analyze the given options, it's clear that option d. y = (x + 2)² + 1, has its turning point (-2,1), which is indeed in the second quadrant. This turning point is obtained directly from the equation, by considering h=-2 and k=1.

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