Sponding color 12 -41

the Function h(x)=1/2(x+3)^2+2. How is the graph of h(x) translated from the parent graph of a qaudratic function, f(x)=x^2

Kay [80]

Answer:

Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

Step-by-step explanation:

Given function: $h(x)=\dfrac{1}{2}(x+3)^2+2$

Parent function: $f(x)=x^2$

It is parabolic function.

$h(x)=\dfrac{1}{2}(x+3)^2+2$

Shift 2 unit down

$g(x)=\dfrac{1}{2}(x+3)^2+2-2$

$g(x)=\dfrac{1}{2}(x+3)^2$

Shift 3 unit right

$g(x)=\dfrac{1}{2}(x+3-3)^2$

$g(x)=\dfrac{1}{2}x^2$

Vertical stretch by factor 2

$g(x)=2\cdot dfrac{1}{2}x^2$

$g(x)=x^2=f(x)$

So, Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

6 0

3 years ago

Read 2 more answers

suppose that $2,000 is loaned at a rate of 18.5% compounded semi-annually assume that no payments are made find the amount after

pogonyaev

Answer: 2000(1+0.185/2)to the power of 3/2

= $2283.82

Step-by-step explanation: compounded interest is A= P(1 +r) the to power of N

So assuming semi annually means twice a year

2000(1+0.185/2)to the power of 3/2

6 0

3 years ago

How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compoun

algol [13]

Answer:

Matthew's money will double fastest in 6 years.

Step-by-step explanation:

The complete question is

Answer the question for each scenario by applying the rule of 72. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?

we know that

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.

so

Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

$\frac{72}{12}=6\ years$

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

$\frac{72}{8}=9\ years$

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

$\frac{72}{4.5}=16\ years$

therefore

Matthew's money will double fastest in 6 years.

7 0

3 years ago

Help please will give brainliest

forsale [732]

It’s D
n < 9
hope it helps

4 0

3 years ago

Read 2 more answers

PLEASE help PLEASE

Allushta [10]

I think 100% profit means she got the gloves for free so all her revenue was profit. That can't be right. Let's assume 'profit on the cost' means a 100% markup, meaning she sold the gloves for £8.

That means she sold the skirt for £40.

She made 20% profit on the total cost t so

1.2 t = 48

t = 48/1.2 = 40

Since she spent £4 on the gloves that means she spent £36 on the skirt she sold for £40.

So she made £4 on a cost of £36 for a percentage of 1/9=.11111...

Answer: 11.1%

7 0

3 years ago

Sponding color12-41​

Sponding color12-41