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icang [17]
2 years ago
13

Re-write the quadratic function below in Standard Form y=-3 (x - 2)² – 7

Mathematics
1 answer:
pav-90 [236]2 years ago
3 0

Answer:

y=-3x^2+12x-19

Step-by-step explanation:

we know that

The quadratic equation in standard form is equal to

y=ax^{2} +bx+c

we have

y=-3(x-2)^{2}-7

This is a quadratic equation in vertex form

Convert to standard form

y=-3(x^2-4x+4)-7

Apply distributive property

y=-3x^2+12x-12-7

Combine like terms

y=-3x^2+12x-19 ----> quadratic equation in standard form

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Answer:

k = 11

Step-by-step explanation:

Given the points are collinear then the slopes between consecutive points are equal.

Using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = \frac{-1-1}{1-5} = \frac{-2}{-4} = \frac{1}{2}

Repeat with another 2 points and equate to \frac{1}{2}

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)

m = \frac{4+1}{k-1} , then

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k = 11

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3 years ago
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2 years ago
PLZ SOMEONE ANSWER QUICK, A packing company is in the planning stages of creating a rectangular prism box that includes a three-
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Answer:

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Step-by-step explanation:

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I can get it into standard form of that certain conic section by completing the square


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