The minimum of the graph of a quadratic function is located at (–1, 2). the point (2, 20) is also on the parabola. which function represents the situation?

f(x) = (x + 1)2 + 2
f(x) = (x – 1)2 + 2
f(x) = 2(x + 1)2 + 2
f(x) = 2(x – 1)2 + 2

f(x) = 2(x + 1)² + 2

Step-by-step explanation:

The minimum of the graph of the quadratic function is located at (-1,2) point.

The point (2,20) satisfies the function.

So, the only equation of function that satisfy the point (2,20) is f(x) = 2(x + 1)² + 2 (1)

Now, check the minimum point.

The equation can rearranged to 2(x + 1)² = y - 2

⇒

So, this is an equation of parabola having vertex at (-1,2) and the axis of the parabola is parallel to positive y-axis.

Therefore, (-1,2) will be the minimum point.

Hence, the function (1) will be the answer.

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step-by-step explanation:

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