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jeyben [28]
2 years ago
11

What is the standard form for the quadratic function?f(x) = (x – 3)2 + 5​

Mathematics
1 answer:
Minchanka [31]2 years ago
7 0

Answer:

f(x)  = x² - 6x + 14

Step-by-step explanation:

Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c

So we are going to expand the equation and combine like terms:

f(x) = (x - 3)² + 5

f(x) = x² - 3x - 3x + 9 + 5

f(x) = x² - 6x + 9 + 5

f(x) = x² - 6x + 14

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Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x
Tatiana [17]

Answer:

reflection over the x-axis and a vertical compression by a factor of 8

Step-by-step explanation:

The parent function is given as

f(x) = x

The transformed graph has equation:

g(x) =  - 8f(x)

The factor of 8, indicates a vertical stretch.

The negative sign indicates a reflection in the x-axis.

Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.

3 0
3 years ago
Help with geometry? Can't do it no matter what I try
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4 0
3 years ago
2 PART QUESTION
AleksandrR [38]
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8 0
2 years ago
Thuy rolls a number cube 7 times. which expression represents the probability of rolling a 4 exactly 2 times?
Nady [450]
The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.

The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
 5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.

Finally, the probability is P=5^5(7!-6!/2)/7^7
6 0
3 years ago
Read 2 more answers
He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
Scrat [10]
Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees

Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides

Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°

An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees

Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120

This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees

Hope this helps :)
6 0
3 years ago
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