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3 years ago

F(x) = -3(x - 1)2 + 3 How do you turn it into standard form

Mathematics

1 answer:

Zepler [3.9K]3 years ago

7 0

Answer:

$\displaystyle \boxed{f(x) = 6x - 3x^2}$

Step-by-step explanation:

f(x) = −3(x² - 2x + 1) + 3

f(x) = −3x² + 6x - 3 + 3

f(x) = −3x² + 6x

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

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PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simpl

Julli [10]

Given:

The given expression is

$-4(x+2)-2x+4$

To find:

The two other equivalent expressions.

Solution:

We have,

$-4(x+2)-2x+4$

Using distributive property, we get

$=-4(x)-4(2)-2x+4$

$=-4x-8-2x+4$

So, one equivalent expression is $-4x-8-2x+4$ .

On further simplification, we get

$=(-4x-2x)+(-8+4)$

$=6x-4$

Therefore, the second and fully simplified equivalent expression is $6x-4$ .

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3 years ago

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Kitty [74]

If you divide a number by 9 then you can also divide it by 3.

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2 years ago

The points ????(0,0), ????(−4,1), ????(−3,5), and ????(1,4) are the vertices of parallelogram OABC Is this parallelogram a

gavmur [86]

Answer:

Yes, parallelogram OABC is a rectangle.

Step-by-step explanation:

The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).

A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.

product of slopes of two perpendicular lines is -1.

Formula for slope is

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Using the formula we get

$m_{OA}=\dfrac{1-0}{-4-0}=-\dfrac{1}{4}$

$m_{AB}=\dfrac{5-1}{-3-(-4)}=-\dfrac{4}{1}=4$

$m_{OA}\times m_{AB}=-\dfrac{1}{4}\times 4=-1$

It means OA is perpendicular to AB.

Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.

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3 years ago

Please Help! Struggling to understand the question ive tried everything

allsm [11]

Answer:

4,16

Step-by-step explanation:

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2 years ago

Shaun collected $925 on the first day of a charity fundraiser. On the second day, he collected $728. By the third day, he had co

sergeinik [125]

A. There was a percent decrease of 21.3% from the first to the second day.

B. There was an increase of 21.6% from the second to the third day.

Step-by-step explanation:

Step 1; Shaun collected $925 the first day and $728 in the second day.So there has been a decrease in money collected. Percent decrease is given by dividing the difference in values by the actual value multiplied by 100.

% decrease = (difference in values / initial value) × 100

% decrease = (925 - 728)/ 925 × 100 = 197/925 × 100 = 21.297%.

This is rounded off to 21.3%.

Step 2; We need to calculate the money collected on the third day.

Money collected on the third day = Total money collected in three days - money collected on the first and second day. =$2,538 - ($925 + $728) = $2,538 - ($1,653) = $885.

Step 3; So Shaun collected $728 on the second day and $885 on the third day.So there has been an increase in money collected. Percent increase is given by dividing the difference in values by the actual value multiplied by 100.

% increase = (difference in values / initial value) × 100

% increase = (885 - 728)/ 728 × 100 = 157/728 × 100 = 21.565%.

This is rounded off to 21.6%.

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3 years ago