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hodyreva [135]
3 years ago
7

Help please and thank you: The graph of f x = x2 − 2x − 3 is shown. Which of these describes the effect changing f x to f −2x wi

ll have on the graph?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

Option (C).

Step-by-step explanation:

Graphed function is,

f(x) = x² - 2x - 3

     = x² - 2x + 1 - 1 - 3

     = (x² - 2x + 1) - 4

     = (x - 1)² - 4

f(-2x) = (-2x)² - 2(-2x) - 3

        = 4x² + 4x - 3

        = 4(x² + x) - 3

        = 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3

        = 4(x + 0.5)² - 1 - 3

        = 4(x + 0.5)² - 4

        = 4[(x - 1) + 1.5]² - 4

Therefore, parent function 'f' will be a horizontal shrink by 4 units and  shifted 1.5 units to the left.

Option (C) will be the answer.

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How do you write a function of t that represents the situation(sales $10,000 increase by 65% each year)?
Shkiper50 [21]

Answer:

  s(t) = 10000·1.65^t

Step-by-step explanation:

The general form of an exponential model is ...

  f(t) = (initial value) × (1 +(fractional change))^t

where the fractional change can be positive or negative and t is the number of time units. Each time unit will correspond to the period required for the fractional change.*

__

For your problem, you have (initial value) = 10,000 and (fractional change) = 65% = 0.65 with time units of 1 year. Your function for sales (s) will then be ...

  s(t) = 10000·1.65^t

_____

* The business regarding time units has to do with problems where you get a description like "increased 30% in 4 hours." Then, if t is in hours, the multiplier of the initial value looks like 1.30^(t/4).

7 0
3 years ago
F(x) = 4x + 5; Find f(8)= Evaluate
e-lub [12.9K]

Answer:

f(8)=4(8) +5

=32 +5

=37

3 0
3 years ago
The sum of three times a number n and 2
mario62 [17]
It would be 6n because 2times 3 is 6 and bring down the n
8 0
3 years ago
Miranda needs to cut strips of paper that are 1/8 of an inch. If she has piece of paper that is 7 and 3/4 inches long. How many
Sloan [31]

Answer:

62

if you turn 1/8 and 7 3/4 to decimals they turn into 1/8=0.125 and 7 3/4=7.75 and 7.75/0.125=62

8 0
3 years ago
The drama club is selling tickets to a play for each ticket they sell the school receives x dollars and the drama club receives
bogdanovich [222]

The drama club receives $7 for each ticket that they sell.

Step-by-step explanation:

Given,

Amount received by school = x dollars

Amount received by school for 96 tickets = 96x

Amount received by drama club = remaining amount after school

Total amount of 96 tickets = 96x+672

Here,

96x is the share of school

672 is the share of drama club for 96 tickets.

Therefore;

96 tickets = dollars

1 ticket = \frac{672}{96}

1 ticket = 7 dollars

The drama club receives $7 for each ticket that they sell.

Keywords: division, addition

Learn more about division at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

6 0
3 years ago
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