Does the quadratic have a maximum or minimum

Mathematics

1 answer:

STALIN [3.7K]2 years ago

7 0

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

$y = ax^2 + bx + c$

If $a > 0$ , that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If $a < 0$ , that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

$y = -x^2 - 2x + 3$

From the graph, we already see that it opens down and has a max, and analitically, since $a = -1 < 0$ , this is confirmed. The correct answer is given by option b.

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postnew [5]

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3 years ago

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Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.

Lunna [17]

Answer: The measure of AC is 32.

Explanation:

It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

So by midpoint theorem length of AC is twice of DF.

$AC=2\times DF$