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KatRina [158]
3 years ago
15

PLEASE HELP find the vertex of f(x)=x^2+2x+3 (make sure you show your work)

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

(- 1, 2)

Step-by-step explanation:

Given a quadratic in standard form y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = x² + 2x + 3 ← is in standard form

with a = 1 and b = 2, hence

x_{vertex} = - \frac{2}{2} = - 1

Substitute x = - 1 into f(x) for corresponding value of y

f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

vertex = (- 1, 2 )

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Answer:

The answer is C=6p3 + 29p2 + 22p – 21

Step-by-step explanation:

To calculate the product, we need to multiply each member of each multiplier:

(2p + 7)(3p2 + 4p – 3) = 2p · 3p² + 2p · 4p + 2p · -3 + 7 ·3p² + 7 · 4p + 7 · -3

                                   =    6p³     +     8p²    -     6p    + 21p²   +  28p   -     21

                                   = 6p³ + 8p² + 21p² + 28p - 6p -21

                                   = 6p³ + 29p² + 22p - 21

Therefore, the product of (2p + 7)(3p2 + 4p – 3) is 6p³ + 29p² + 22p -21

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Read 2 more answers
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