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2 years ago

Find the vertex of the graph of the following quadratic equations y= -3x^2 -12x-13

Mathematics

2 answers:

Igoryamba2 years ago

7 0

Answer:

Step-by-step explanation:

The vertex is a point. The x value is defined as x = - b / 2a where

a = -3

b = - 12

x = - -12/ 2* -3

x = 12 / - 6

x = -2

what is y when x = - 2?

y = -3(-2)^2 - 12(-2) - 13

y = -12 + 24 - 13

y = -1

Does the graph agree? It should

The equation is written as

y = -3(x + 2)^2 - 1

choli [55]2 years ago

3 0

By using the rule -b/2a —> 12/-6= -2

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2 years ago

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Natasha2012 [34]

9514 1404 393

Answer:

31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

Sin = Opposite/Hypotenuse

sin(30°) = BE/100

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Then ...

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x ≈ 31.243 . . . . units

_____

<em>Comment on the figure</em>

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.