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yanalaym [24]
3 years ago
7

A quadratic function that has the vertex (-2, -4) and passes through the point (-1, -6)

Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

f(x) = -2 (x + 2)² - 4  

Step-by-step explanation:

f(x) = a (x - h)² + k     (h , k) is vertex    h = -2     k = -4

pass point (-1 , -6)     f(x) = -6 and x = -1

-6 = a (-1 - (-2))² + (-4)

-6 = a - 4

a = -2

quadratic function: f(x) = -2 (x + 2)² - 4

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Read 2 more answers
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, mo
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Answer:

-62024.48

Step-by-step explanation:

Given

[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5]

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ]

Solve the expressions in the inner brackets

[ 4 * 7 ] - 3 [ 2  \div 1 2 ] * 2 ( 8.4  ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]

Solve all divisions

[ 4 * 7 ] - 3 * \frac{1}{6}  * 2 ( 8.4  ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]

[28] - 0.5  * (16.8) * (4) [9] * (21.6) * [9.5]

[28] - 0.5  * (16.8) *  [36] * (21.6) * [9.5]

Multiply through

28- 62052.48

-62024.48

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