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2 years ago

Given the function f(x) shown, sketch the graph of f(x-2)

Mathematics

1 answer:

borishaifa [10]2 years ago

7 0

Step-by-step explanation:

substitute different values of x inorder to get values of y. so since the value of y will have 2 units substracted from the original function leaving us with shifting. but the graph would be parabolic or slightly curved than my graph.

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Select the correct answer.Which statement correctly compares the graph of function g with the graph of function ?(+) = ef - 4g(t

Yakvenalex [24]

Given:

$\begin{gathered} f(s)=e^s-4 \\ \\ g(s)=\frac{1}{2}e^s-4 \end{gathered}$

From the function above, there was a horizonal stretch.

using the transformation rule:

$(x,y)\Longrightarrow(\frac{x}{b},y)$

Therefore, we can say that there is a horizontal shift of the graph to the right.

ANSWER:

B. The graph of the function g(s) is a horizontal shift of the graph of the function to the right.

6 0

1 year ago

Q1.Simplify:

solniwko [45]

$\textbf{(i)}\\\\\{1^3 +2^3 \} \times \left(\dfrac 13 \right)^2\\\\=(1+8) \left(\dfrac 19 \right)\\\\=9\left(\dfrac 19 \right)\\\\=1\\\\$

$\textbf{(ii)}\\\\\{5^{-1}\times 4^{-1}\}^2\\\\=\left(5^{-1} \right)^2 \times \left(4^{-1} \right)^2~~~~~~~~~~~;[(ab)^m = a^mb^m]\\\\=5^{-2}\times 4^{-2}~~~~~~~~~~~~~~~~~~~~;[(a^m)^n = a^{mn}]\\\\=\dfrac 1{5^2} \times \dfrac 1{4^2}~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m},~ a\neq 0 \right]\\\\=\dfrac{1}{400}\\\\=0.0025\\\\$

$\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625$

6 0

2 years ago

Read 2 more answers

Consider the following figure:

Solnce55 [7]

Answer:

x=90

y=148

Step-by-step explanation:

Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.

With our given information we can add up the two given angles in the triangle which are 90 and 58

90+58=148

To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.

180-148=32

Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.

180-32=148

3 0

2 years ago

The mean height of women in a country (ages 20-29) is 64.5 inches. A random sample of 75 women in this age group is selected.

Allushta [10]

Answer:

0.07378

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/√n, where

x is the raw score = 65 inches

μ is the population mean= 64.5 inches

σ is the population standard deviation = 2.99

n = 75

z = 65 - 64.5 /2.99/√75

z = 0.5/0.345255461

z = 1.4482

Probability value from Z-Table:

P(x<25) = 0.92622

P(x>25) = 1 - P(x<25)

= 1 - 92622

= 0.07378

The probability that the mean height for the sample is greater than 65 inches is 0.07378

4 0

3 years ago

Point (2, -4) is reflected across the x-axis. What are<br> the coordinates of its image?

Zina [86]

The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

Step-by-step explanation:

Let us revise the reflection of a point

1. If point (x , y) reflected across the x-axis, then its image is (x , -y)

2. If point (x , y) reflected across the y-axis, then its image is (-x , y)

3. If point (x , y) reflected across the line y = x, then its image is (y , x)

4. If point (x , y) reflected across the line y = -x, then its image is (-y , -x)

∵ Point (2, -4) is reflected across the x-axis

∵ Point (x , y) reflected across the x-axis, then its image is (x , -y)

- Chang the sign of the y-coordinate of the point to find its image

∵ The y-coordinate of the point is -4

∴ The y-coordinate of the image is 4

∴ The image of the point (2 , -4) is (2 , 4) after reflection across the

x-axis

The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers