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andrew11 [14]
2 years ago
7

function g is a transformation of the parent function f(x)=x^2 the graph of g is a translation right 2 and down 5units of the gr

aph of f what is the equation of function g written in the form y=ax^2+bx+c?

Mathematics
1 answer:
Natali [406]2 years ago
6 0

right 3 units down 5 units

f(x)=x^2

right 3 units = (3,0)

down 5 units = (0,-5)

vertex = (h,k) therefore.

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

Then convert the vertex form into standard form for the equation in the choice.

g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4

Thus, the answer is B.

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The new balance of a charge account is $145.00. The minimum payment is $20.00. If the interest rate is 1.5%, how much will the n
juin [17]
The balance is $145 but after one makes he minimum payment of $20, there is $125 left to pay. However interest is added before the next month’s bill is generated.

Remember that percent means out of 100. 1.5% means 1.5/100 = .015

To find 1.5% of 125 we multiply (.015)(125) = 1.875 But as this is money the interest is rounded to two decimal places and so is $1.88

We add this to 125 to get next month’s balance which is 125 + 1.88 = $126.88
3 0
3 years ago
Please help me I need the answer
VMariaS [17]

Check the picture below.

well, since the triangle is an isosceles, with twin sides and twin angles at the "base", let's check what the angle at R is, 15(7) - 31 = 74, and her twin sister at T is also 74, that means that the angle at S is 180 - 74 - 74 = 32.

4 0
2 years ago
In a large population, very close to 25% of the observations will fall below the
lana66690 [7]

Answer:

1,417,000

Step-by-step explanation:

Given that:

Score = 1,475,623

96% of nationwide

96% of score gives the best estimate of the number of scores below 720

0.96 * 1475623

= 1416598.08

The best estimate is 1,417,000

4 0
3 years ago
I need help with this​
azamat

Answer:

Let the amount of Danny be y

Therefore, lance will have 1/3y

Total fraction of cup is 1/1

y+y/3=1

4y/3=1

4y=3

y=3/4

therefore, lance had 3/4 of the cup of water

4 0
3 years ago
The population of your hometown can be modeled by the equation P equals 2538 left parenthesis 1.025 right parenthesis to the pow
Degger [83]

Answer:

2538

2.5%

Step-by-step explanation:

The population equayio since year 2000 can be modeled mathematically as :

P = 2538(1.025)^t

This is an exponential growth function which is represented by the general formula :

y = a(b)^t

Where, a is the initial population ;

b = growth factor ; b = (1 + r) where r = growth rate

Comparing the equations, the population in year 2000 represents the initial population, a = 2538

The percentage Rate of increase in population is :

(1 + r) = 1.025

r = 1.025 - 1

r = 0.025 ; 0.025 * 100% = 2.5%

5 0
2 years ago
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