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Shkiper50 [21]
2 years ago
11

Select the correct answer. Consider the function f(x) = x2 and the function g(x) shown below. How will the graph of g(x) differ

from the graph of f(x)? g(x) = f(x) + 5 = x2 + 5 A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5. B. The graph of g(x) is the graph of f(x) shifted up 5 units. C. The graph of g(x) is the graph of f(x) compressed vertically by a factor of . D. The graph of g(x) is the graph of f(x) shifted down 5 units.
Mathematics
1 answer:
katen-ka-za [31]2 years ago
7 0

Answer:

B

Step-by-step explanation:

just think logically about it.

you take f(x) (which stands for the result value y, you know that), do not change f(x) in any way but add finally 5 to every y value created.

there is no other effect than moving the whole f(x) curve up by 5 units, because every y value is now bigger by 5 units.

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Find the range of the following peicewise functiom
sasho [114]

answer is [0,11)

f(x) = x+4 is the first function

We plug in -4 for x  in f(x) = x+4

f(-4) = -4 + 4 = 0

So the graph starts at (-4,0)

Now plug in 3 for x  in f(x) = x+4

f(3) = 3 + 4 = 7

So the first function ends at (3,7)

Second function is f(x) = 2x - 1

We plug in 3 for x  in f(x) = 2x-1

f(3) =2(3)-1 = 5

So the second graph starts at (3,5)

We plug in 6 for x  in f(x) = 2x-1

f(6) =2(6)-1 = 11

So the second graph ends at (6,11)

3<=x<6 so 6 is excluded from x

The range of the following piece wise function is 0  to 11

answer is [0,11)

7 0
3 years ago
Read 2 more answers
What is the simplified form of the fifth root of x to the fourth power times the fifth root of x to the fourth power
elena55 [62]
I believe the following is your problem (if not do rectify me). If so, then:

⁵√x⁴ .⁵√x⁴
1st method: 
⁵√x⁴ .⁵√x⁴ = x⁴/⁵ . x⁴/⁵ = x⁽⁴/⁵ +x⁴/⁵⁾ = x⁸/⁵ = ⁵√x⁸ = ⁵√(x⁵.x³) = x. ⁵√x³
2nd method:
⁵√x⁴ . ⁵√x⁴ = ⁵√(x⁴. x⁴) = ⁵√(x⁴⁺⁴) = ⁵√x⁸ = x .⁵√x³ 
3 0
3 years ago
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If the roots of x²-7x+k=0 are m and m-1, find the value of the constant k​
creativ13 [48]

Answer: k=12

Step-by-step explanation:

x2 - 7x + k = 0

using quadratic formula method,

x = [-b ± √(b2 - 4ac)]/2a

a = 1

b = -7

c = k

x = [-(-7) ± √((-7)2 - 4(1)(k))]/2(1)

x = [7 ± √(49 - 4k)]/2

x = [7 + √(49 - 4k)] / 2 and [7 - √(49 - 4k)] / 2

since the roots are m and m-1,

m = [7 + √(49 - 4k)] / 2 ------------ eqn(1), and

m - 1 = [7 - √(49 - 4k)] / 2 ----------- eqn(2)

add 1 to both sides of eqn(2)

m = [7 - √(49 - 4k)]/2 + 1 --------------- eqn(3)

eqn(1) = eqn(3)

[7 + √(49 - 4k)]/2 = [7 - √(49 - 4k)]/2 + 1

7/2 + (√(49 - 4k))/2 = 7/2 - (√(49 - 4k))/2 + 1

collect like terms,

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 7/2 - 7/2 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 0 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 1

multiply through by 2

√(49 - 4k) + √(49 - 4k) = 2

2√(49 - 4k) = 2

divide both side by 2

√(49 - 4k) = 1

square both sides

49 - 4k = 1

collect like terms,

4k = 49 - 1

4k = 48

divide both sides by 4

k = 48/4

k = 12

6 0
3 years ago
$500 shared in ratio 2:3:9
RideAnS [48]
2:3:9......added together = 14

2/14 (500) = 1000/14 = 71.43
3/14 (500) = 1500/14 = 107.14
9/14 (500) = 4500/14 = 321.43
6 0
3 years ago
HELP ME PLEASE thank you so much to who helps me :)
igor_vitrenko [27]

Answer:

π(12.1)²

Step-by-step explanation:

12.1 is the radius

Formula for base = πr²

= π(12.1)²

3 0
2 years ago
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