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stira [4]
2 years ago
10

Horizontally compress the exponential function f(x)=2^x by a factor of 3

Mathematics
1 answer:
MakcuM [25]2 years ago
7 0

The horizontally compress the exponential function f(x)=2^x by a factor of 3 is f(3x)=2^3x

When we compress a function y=f(x) by a scale factor of 'k', where k >1, then the function after compression will become :

y=f(x), where k>1

We have given the Exponential function.

<h3>What is the scale factor?</h3>

The scale factor is a measure for similar figures, that look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

The scale factor of the compression (k): 5

Then after horizontal compression, the exponential function will become

f(3x)=2^3x

To learn more about the exponential function visit:

brainly.com/question/12940982

#SPJ1

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Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the near
professor190 [17]

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

In this problem, the function is given by:

y = 2x² + 25x + 3.

Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:

  • x_v = -\frac{25}{2(2)} = -6.25
  • y_v = -\frac{25^2 - 4(2)(3)}{4(2)} = -75.13

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

More can be learned about the quadratic functions at brainly.com/question/24737967

#SPJ1

5 0
2 years ago
NEEDS TO BE DONE TODAY SOMEONE PLEASE
eduard

Answer:

Step-by-step explanation:

16.

RT=17.885

RS=9.741

Angle T=33°

17

AB=7.077

Angle B= 47.291°

Angle A= 42.709°

19

∠A = 180° - B - C = 1.36944 rad =

A=78.463°

8 0
3 years ago
For babysitting Nicole charges $5 per hour plus a one-time flat rate fee of $3. Write the equation for the cost y after X hours
Molodets [167]

Answer:

y= 5x + 3

Step-by-step explanation:

the 5- the hourly rate

the 3- 3 dollars will get added to her hourly rate

x- number of hours

y- the total

6 0
3 years ago
A shopper pays $2,937 for a $2,670 grandfather clock after sales tax is added. What is the sales tax percentage?
alexandr1967 [171]

Answer:

10%

Step-by-step explanation:

2937 ÷ 2670 = 1.1

1.1 - 1 = 0.1

5 0
3 years ago
Solue each by trial and error method.. 3+x=8​
leva [86]

Answer:

x=5

Step-by-step explanation:

Move the constant to the right-hand side and change its sign. Then subtract the numbers.

8 0
3 years ago
Read 2 more answers
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