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Veseljchak [2.6K]
3 years ago
5

What is the equation of the following graph in vertex form? Courtesy of Texas Instruments A. y = (x − 4)2 − 4 B. y = (x + 4)2 −

4 C. y = (x + 2)2 + 6 D. y = (x + 2)2 + 12

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

A: y = (x − 4)^2 − 4

Step-by-step explanation:

vertex=(4.-4)

A: y = (x − 4)^2 − 4

y=x^2-8x+16-4

y=x^2-8x+12 (a=1,b=-8,c=12)

the y intercept is (0,12)

vertex ( h, k)

h=-b/2a ⇒ h=-(-8)/2=4

plug the value of h in the equation y=x^2-8x+12

k=4²-8(4)+12

k=16-32+12

k=-4

v(4,-4)

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Alan has forgotten his 4-digit PIN code.
SVEN [57.7K]

Answer:

a lot of different answers

Step-by-step explanation:

8 0
3 years ago
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Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
Irina-Kira [14]
Hi there!

PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)

Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1

PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.

Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers

ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
8 0
3 years ago
The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday it gained 96 points. What
Margaret [11]

48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220. So it would be about 48 points gained.

4 0
3 years ago
Does the following represent the Transitive Property?
Sauron [17]
No it does not. If q=b and b=t then q=t is the correct answer. 
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3 years ago
What is the y-intercept of the line?
madreJ [45]

Answer:

1

Step-by-step explanation:

Hope this helps!

Lmk if you have any questions!

Have a great day! :)

5 0
3 years ago
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