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blagie [28]
3 years ago
10

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

) = -8f(x)?
Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

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.

You might be interested in
Question 2
BabaBlast [244]

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.

6 0
2 years ago
A certain television is advertised as a 55-inch TV (the diagonal length). If the width of the TV is 42 inches, how many inches t
Mumz [18]

Answer:

69.20in

Step-by-step explanation:

Given data

diagonal of the TV d= 55in

Widht of the TV w=  42 in

Hight h= ???

Applying the Pythagoras theorem

d^2= w^2+ h^2

substitute

55^2= 42^2+ h^2

3025= 1764+ h^2

3025+1764= h^2

4789= h^2

h=√4789

h= 69.20

Hence the Heigth is 69.20in

7 0
2 years ago
What is the measure of AC 58 Degrees PLEASE HELP
Ann [662]
AC would be double of its angle, which happens to be 58.

58•2 = 116.

Therefore, your answer would be D: 116 degrees.
8 0
3 years ago
Read 2 more answers
The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00
timama [110]

Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancy of the brand of tire in miles.

µ = mean

σ = standard deviation

From the information given,

µ = 40000 miles

σ = 5000 miles

The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

6 0
3 years ago
( 2 x -6 ) +4 ( x - 3 )
OLga [1]
(2x-6) + 4(x-3) {distribute 4 out and expand problem}
2x+6+4x-12 {combine like terms}
6x-6 {your answer}
3 0
2 years ago
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