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Anvisha [2.4K]
3 years ago
6

If the value of a in the quadratic function f(x) = ax^2 + bx + c is 1/2, the function will:

Mathematics
2 answers:
TiliK225 [7]3 years ago
7 0

Answer:

Open up and have a minimum

Step-by-step explanation:

If the x² coefficient is:

Positive, the graph will open up and have a minimum

Negative, the gaph will open down and have a maximum

guajiro [1.7K]3 years ago
6 0

Answer:

opens up and has a minimum

Step-by-step explanation:

Provided a is not 0, y=ax^2+bx+c will be a parabola.

The parabola will open up and have a minimum if a is positive.

The parabola will open down and have a maximum if a is negative.

Since 1/2 is positive, then your parabola opens up and has a minimum.

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Answer:

x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2}

Step-by-step explanation:

x^2 - 5x = 8

x^2 - 5x + \dfrac{25}{4} = 8 + \dfrac{25}{4}

(x - \dfrac{5}{2})^2 = \dfrac{57}{4}

x - \dfrac{5}{2} = \pm \sqrt{\frac{57}{4}}

x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2}

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