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Elodia [21]
3 years ago
14

The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the tr

ansformed function?
A) y = x2 - a + b
B) y = (x - a)2 - b
C) y = (x + a)2 - b
D) y = (x - b)2 - a
Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0
<span>C) y = (x + a)2 - b </span>is the answer
sleet_krkn [62]3 years ago
4 0

Answer:

Option c

Step-by-step explanation:

A parent function is given by f(x) = x²

If the graph of the parent quadratic function is shifted a units to the left then new function will become

f'(x) = (x+a)²

Now the new function f'(n) is shifted b units down then the shifted function will be

f" (x) = (x + a)² - b

Therefore, Option c. is the answer.

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patrick drank 3/4 liters of water on wednesday before going jogging and 4/5 liter of water after his jog . how much water did pa
Alona [7]
To find the total of 3/4 and 4/5 is to add them together. However, in order to add them together you need to find the least common denominator (LCD). And the LCD of both denominators would be 20, because that is the smallest number both 4 and 5 can divide into. And here is the tricky part, now you have to change the numerators. So since 3/4th's now has a denominator of 20 you have to make the 3 match the 20. So 4 times what it 20? It is 5. So now multiply 5 by three and that will give you 15/20, which can reduce to 3/4 which means that you did this correctly! Now repeat the same steps with 4/5:

4/5=4/20
20÷5=4
4•4=16
16/20    (16/20 can reduce to 4/5 which means you did this correctly.

Now to add them keep the denominators the same and only add the numerators:

15/20 + 16/20 = 31/20

Now this as a mixed number would be 1 11/20. I hope this was helpful!
4 0
3 years ago
Read 2 more answers
Find the value of x,y and z. The Diagram is not a scale!
joja [24]

Answer:

x= 76, y = 63  z, 104

Step-by-step explanation:

We can find x since the three angles of a triangle add to 180 degrees

46+58+x = 180

104+x =180

Subtract 104 from each side

x = 180-104

x = 76


x and z form a straight line

x+z =180

76+ z = 180

Subtract 76 from each side

z = 180-76

z = 104


Z, 13 and y make a triangle

z+ 13 +y = 180

104+13+y = 180

117+y=180

Subtract 117 from each side

y = 180-117

y = 63

4 0
3 years ago
How many terms are in the expression 2m²n + 2mn² - m + 3n + 9​
IgorC [24]

Answer:

12 constant terms and 12 variable terms

Step-by-step explanation:

6 0
2 years ago
Thanks for the help thanks again
liberstina [14]

Answer:

ur welcome

Step-by-step explanation:

- spongebob

8 0
3 years ago
Read 2 more answers
Students have organized
Olenka [21]

Answer:

Part A. At least 6 hours

Part B.  In less than 2.5 hours Elijah will be behind Mercedes

Part C.  In more than 2.5 hours Elijah will be ahead Aubrey

Step-by-step explanation:

D = distance

v =speed

t = time

Formula connecting D, v and t:

D=v\cdot t

Part A.

Steve's speed: v=3.5\ mph

Distance: at least 21 miles

Time: unknown, so

3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6

It would take Steve at least 6 hours to walk at least 21 mi on Day 1.

Part B.

Mercedes's speed: v_M=2.4\ mph

Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Mercedes's Distance walked: D_M miles

Time: x hours

Mercedes is 2 miles ahead, so

D_E=3.2x\\ \\D_M=2.4x+2

Elijan will be behind when

D_E

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.

Part C.

Aubrey's speed: v_M=3\ mph

Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Aubrey's Distance walked: D_A miles

Time: x hours

At the beginning of Day 3, Elijah starts walking at the marker for Mile 42,  and Aubrey starts walking at the marker for Mile 42.5.

D_E=42+3.2x\\ \\D_A=42.5+3x

Elijan will be ahead of Aubrey when

D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours

In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.

4 0
3 years ago
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