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ella [17]
3 years ago
13

Consider the following function f(x)=x^2 + 5 write the function in vertex form that shifts right 3 units

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

g(x) = (x - 3)^2 + 5

Step-by-step explanation:

If we want to shift the graph of f(x) = x^2 + 5  three  units to the right, rewrite

f(x) = x^2 + 5 as g(x) = (x - 3)^2 + 5

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gregori [183]

Answer:

False

Step-by-step explanation:

To find the inverse of a function, switch the variables and solve for y.

The inverse of f(n)=-(n+1)^3:

y=-(n+1)^3

n=-(y+1)^3

\sqrt[3]{n} =-(y+1)

\sqrt[3]{n} =-y-1

\sqrt[3]{n} +1=-y-(\sqrt[3]{n} +1)=y

-\sqrt[3]{n} -1=y

5 0
3 years ago
Read 2 more answers
Chloe wants to cut a 37 in. piece of ribbon into three pieces. The second piece is to be 2 in. longer than the first, and the th
valentinak56 [21]

1st piece = x

2nd piece = x+2

3rd piece = x+2+3 = x+5

37 = x +x+2 + x+5 =

37 = 3x+7

30=3x

x = 30/3 = 10

 1st piece = 10 inches

 2nd piece = 10+2 = 12 inches

 3rd piece = 10+5 = 15 inches

7 0
3 years ago
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Svetllana [295]

4)Area :32cm

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4 0
3 years ago
Points C and D are 884884 statute miles apart. How far apart are C and D in nautical​ miles? Assume the radius of the earth at t
sineoko [7]
I think this problem gave the data for the radius of earth so that we will know the conversion ratio between statute miles and nautical miles. However, you can simply search that. There are 1.15 statute miles in 1 nautical mile. Hence,

Distance in nautical miles = <span>884884 statute miles * 1 nautical mile/1.15 statute miles
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7 0
3 years ago
In a proportional relationship why must the graph of the line always go through the origin (0,0)? explain?
lbvjy [14]

Answer:

We know that, two quantities are proportional when they vary directly with each other.

i.e. quantities x and y are proportional when they have the relation y = kx, where k is any constant called constant of proportionality.

Since, the quantities are in relation y = kx.

So, for x = 0 we get that the value of y = 0.

As, the point ( 0,0 ) satisfies this relation i.e. it is a solution of y =  kx.

Hence, in proportional relationship, the graph will pass through ( 0,0 ).

7 0
3 years ago
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