All categories

2 years ago

The graph of quadric function has a minumum at (-2,-3) and passes through the point (2,13)

Mathematics

1 answer:

Leto [7]2 years ago

3 0

Answer:

g(x) = x² + 4x + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, - 3), thus

y = a(x + 2)² - 3

To find a substitute (2, 13) into the equation

13 = a(2 + 2)² - 3

13 = 16a - 3 ( add 3 to both sides )

16 = 16a ( divide both sides by 16 )

a = 1, hence

g(x) = (x + 2)² - 3 ← expand factor and simplify

= x² + 4x + 4 - 3

g(x) = x² + 4x + 1

You might be interested in

David works six more hours per week than Xavier. If Xavier works 32 hours a week, what is the total hours the two work in a

Finger [1]

We are required to find the total hours David and Xavier works in a week

The total hours David and Xavier works in a week is 70 hours

let

number of hours Xavier works = 32 hours

number of hours David works = (6 + 32) hours

= 38 hours

Total number of hours David and Xavier works in a week = number of hours Xavier works + number of hours David works

= 32 hours + 38 hours

= 70 hours

Therefore, the total hours David and Xavier works in a week is 70 hours

brainly.com/question/21350626

5 0

2 years ago

Read 2 more answers

Vince bought 6 boxes of worms to use as bait while fishing with his friends. If each person uses exactly 3/8 of a box of worms,

tia_tia [17]

We are given the following information:

each person uses 3/8 a box

there are 6 boxes

Because each box is $\frac{8}{8}$ , and there are 6 boxes, we know that 1 person is $\frac{3}{8*6}$ , or $\frac{3}{48}$ .

In order to find how many people can use the 6 boxes, we can divide it by 3 (for each use):

48 / 3 = 16

Therefore, 16 people can share the worms.

Hope this helps! :)

4 0

3 years ago

Find the value of the underlined digit. 7.27

Sauron [17]

Which of the digits are underlined ?
if it’s the first 7 it’s 7 ones
if it’s the 2 it’s 2 tenths
if it’s the last 7 it’s 7 hundredths

6 0

2 years ago

The movie starts at 3:15 p.m. and ends at 5:08 p.m. How long is the movie?

Katena32 [7]

Answer:

1 hour and 53 minutes

Step-by-step explanation:

Your welcome

4 0

3 years ago

How long will it take an investment to double in value if the interest rate is 10% compounded continuously? (round your answer t

Varvara68 [4.7K]

Assumed
PW as 100
FW as twice PW as 200

answer is 7.27254 years

manually take the log of both sides and solve for n

8 0

3 years ago