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bonufazy [111]
3 years ago
5

What is the formula for the discriminant?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.

Step-by-step explanation:

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kondaur [170]

Answer:

Vertex form: f(x) = -10(x − 2)^2 + 3

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Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

Calculate "a" by replacing "f(x)" with -7 and "x" with 1:

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Simplify:

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Replace a to get the final vertex form equation:

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Convert to standard form:

y = -10(x − 2)^2 + 3

Expand using binomial theorem:

y = -10(x^2 − 4x + 4) + 3

Simplify:

y = -10x^2 + 40x - 40 + 3

y = -10x^2 + 40x - 37

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