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3 years ago

7

HELP PLEASE

1 answer:

RUDIKE [14]3 years ago

7 0

We have the following equation:
y = -2x2 + 2x + 2
We look for the vertex of the parabola. For this, we derive the given equation:
y '= - 4x + 2
We match zero:
0 = -4x + 2
We clear x:
4x = 2
x = 2/4
x = 1/2
We evaluate the function for x = 1/2:
y = -2 * (1/2) ^ 2 + 2 * (1/2) + 2
y = 2.5
The vertice of the parabola is:
(x, y) = (1/2, 2.5)
We now look for the value of the function for x = 6:
y = -2 * (6) ^ 2 + 2 * (6) + 2
y = -58
Answer:
The vertice of the parabola is:
(x, y) = (1/2, 2.5)
the value of the function for x = 6 is:
y = -58

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<u>Step-by-step explanation:</u>

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$x^{2} + 10 x + 21 = 0$

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get

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Verify above values by multiply both terms,

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