All categories

3 years ago

Which is the graph of the function f(x) = x2 + 2x + 3?

Mathematics

2 answers:

andrezito [222]3 years ago

8 0

Its the first answer on e2020 :D

blagie [28]3 years ago

5 0

Dy/dx=2x+2

So velocity will be zero when 2x+2=0, x=-1

Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.

y(-1)=1-2+3=2

So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.

And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)

You might be interested in

the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.

Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671 = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d = 135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0

3 years ago

(3m±4/5n)2<br>solve this question<br>

sukhopar [10]

Answer:

(3m-4/5)2

Final result :

(15m - 4)2

——————————

Step by step solution :

Step 1 :

Simplify —

Equation at the end of step 1 :

(3m - —)2

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

3m 3m • 5

3m = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4) 15m - 4

———————————— = ———————

5 5

Equation at the end of step 2 :

(15m - 4)

(—————————)2

Step 3 :

Final result :

(15m - 4)2

———

Step-by-step explanation:

5 0

3 years ago

Which expression represents the average of three test scores?

fomenos

Answer:

It is C

Step-by-step explanation:

trust me ☜(ﾟヮﾟ☜)

4 0

3 years ago

Read 2 more answers

Plssplsplsplspls answer fast bc its a map and I can't wait for way too long

AURORKA [14]

Answer:

Part A: 1

Part B: -4

Step-by-step explanation:

In a coordinate $(x,y)$ , the x-coordinate represents the input of a function and the y-coordinate represents the output.

Part A:

We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.

Part B:

We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.

7 0

3 years ago

Read 2 more answers

The ratio of the lengths of and is 2 : 1.

borishaifa [10]

The answer is 2 hopefully this helped

6 0

3 years ago