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mina [271]
2 years ago
5

Let f(x)=x^2 and g(x)=(x-3)^2+7 match up the correct transormations that are needed to transform the graph of f(x) to the graph

of g(x).
Horizontal translation of


Vertical translation of


3 units right

7 units up

3 units left
Mathematics
1 answer:
pentagon [3]2 years ago
5 0

The transformations are vertical translation 7 units up.horizontal translation 3 units to the left

We have given that the equations

let f(x)=x^2 and g(x)=(x-3)^2+7

We have to determine the correct transformation,

<h3>What is the vertical translation?</h3>

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.

Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.

Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.

To learn more about the transformation visit:

brainly.com/question/2689696

#SPJ1

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suter [353]
0.18x420= 75.6+15.00=90.6
7 0
3 years ago
You begin a hike in Death Valley, California, at an elevation of -86 meters. You hike to a point of elevation at 45 meters. What
kotegsom [21]

Answer:

131

Step-by-step explanation:

(-)86+45

86 + 45 = 131

7 0
3 years ago
Find the measure of each of the angles. Don’t forget to label your answer
user100 [1]

Answer:

a=125^o

b=55^o

c=55^o

d=55^o

e=125^o

f=55^o

Step-by-step explanation:

step 1

Find the value of x

we know that

(2x+25)^o=(x+75)^o ----> by alternate interior angles

solve for x

Group terms

2x-x=75-25

x=50

step 2

Find the measure of angle a

we know that

a=(x+75)^o ----> by vertical angles

substitute the value of x

a=(50+75)=125^o

step 3

Find the measure of angle b

we know that

a+b=180^o ----> by supplementary angles (form a linear pair)

we have

a=125^o

substitute

125^o+b=180^o

b=180^o-125^o=55^o

step 4

Find the measure of angle c

we know that

c=b ----> by vertical angles

we have

b=55^o

therefore

c=55^o

step 5

Find the measure of angle d

we know that

d=b ----> by corresponding angles

we have

b=55^o

therefore

d=55^o

step 6

Find the measure of angle e

we know that

e=a ----> by alternate exterior angles

we have

a=125^o

therefore

e=125^o

step 7

Find the measure of angle f

we know that

f=d ----> by vertical angles

we have

d=55^o

therefore

f=55^o

4 0
3 years ago
Who's is the solution set of the compound inequality 3.5x-10&gt;-3 and 8x-9&lt;39
velikii [3]
3.5x-10>-3  add 10 to both sides

3.5x>7  divide both sides by 3.5

x>2

... now for the other inequality:

8x-9<39  add 9 to both sides

8x<48  divide both sides by 3

x<6

So we have x>2 and x<6, so the compound inequality is:

2<x<6  and this means that the solution set is:

x=(2, 6)
4 0
3 years ago
Read 2 more answers
Please help with algebra 2 logarithms. brainliest if you explain and worth 25 points
Ronch [10]

Answer: 3log5(2) - 1 or ~0,29203

Step-by-step explanation:

2log5(4) - log5(10)

log5(4^2) - log5(10)

log5(4^2/10)

log5(16/10)

log5(8/5)

Log5(8) - log5(5)

log5(2^3) - 1

3log5(2) - 1

5 0
2 years ago
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