1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vivado [14]
3 years ago
15

Which is the graph of the function f(x) = x2 + 2x – 6? Mark this and return

Mathematics
2 answers:
valina [46]3 years ago
6 0
Vertex: ( -1, -7 )

Focus: ( -1, -27/4 )

Axis of Symmetry: x = -1

Directrix: y = -29/4


X | Y
———
-3| -3
-2| -6
-1 | -7
0 | -6
1 | -3

Ghella [55]3 years ago
3 0

Answer:

The graph of the function is shown below.

Step-by-step explanation:

The given function is

f(x)=x^2+2x-6

f(x)=(x^2+2x)-6

If an expression is defined as x^2+bx, then we need to add (\frac{b}{2})^2 to make it perfect square.

Here, b=2 so add and subtract 1 in the above parenthesis.

f(x)=(x^2+2x+1-1)-6

f(x)=(x^2+2x+1)-1-6

f(x)=(x+1)^2-7         .... (1)

The vertex form of a parabola is

f(x)=(x-h)^2+k      .... (2)

where, (h,k) is vertex.

On comparing (1) and (2) we get

h=-1,k=-7

So, the vertex of the parabola is (-1,-7) and axis of symmetry is x=-1.

The x-intercepts of the equation is

0=(x+1)^2-7

7=(x+1)^2

\pm \sqrt{7}=x+1

-1\pm \sqrt{7}=x

x=-3.646,1.646

Therefore, the x-intercepts are -3.646 and 1.646. The graph is shown below.

You might be interested in
Help plssssss help mewith math ok
Bond [772]

Answer: umm jus look up what a histogram is

Step-by-step explanation:

5 0
2 years ago
107,600 115,220 104,910 median, mode, mean
san4es73 [151]

Answer:

<u>1. Mean =  342.7 (Rounding to the nearest tenth)</u>

<u>2. Median =  167.5 </u>

<u>3. Mode = There isn't a mode for this set of numbers because there isn't a data value that occur more than once. </u>

Step-by-step explanation:

Given this set of numbers: 107, 600,  115, 220,  104, 910, find out these measures of central tendency:

1. Mean = 107 + 600  + 115 + 220 + 104 + 910/6 = <u>342.7</u> (Rounding to the nearest tenth)

2. Median. In this case, we calculate it as the average between the third and the fourth element, this way:

115 + 220 =335

335/2 = <u>167.5 </u>

3. Mode = <u>There isn't a mode for this set of numbers because there isn't a data value that occur more than once. All the data values occur only once.</u>

5 0
3 years ago
Keira's older cousin earns $700 a week. Recently he moved into his own apartment. What amount of debt do you think is reasonable
umka21 [38]

Answer:

10,000

Step-by-step explanation:

5 0
2 years ago
What is the value of x
Nesterboy [21]

Answer:

x = 2

Step-by-step explanation:

First simplify the equation.

  1. \frac{7}{9}x -\frac{4}{9} =\frac{1}{4} +\frac{5}{12}
  2. \frac{3}{9}x= \frac{3}{12} +\frac{5}{12}
  3. \frac{3}{9}x=\frac{8}{12}
  4. \frac{1}{3}x=\frac{2}{3}

Now multiply both sides by 3.

x = 2

I hope it helps you. Please choose my answer as the BRAINLIEST.

7 0
2 years ago
Read 2 more answers
Eliza and Jamie are making cupcakes for a bake sale at school. Eliza needs 2 1/3 cups of flour for her recipe, and Jamie needs 1
mylen [45]

Answer:

yes, they do have enough flour for both recipes

Step-by-step explanation:

they have a total of 4 cups of flour, one needs 2 1/3 cups and the other person needs 1 3/4 cups.

4- 2 1/3= 1 1/3

1 1/3- 1 1/3= 0

this means they have the perfect amount of flour for both recipes.

3 0
2 years ago
Other questions:
  • Which choices are equivalent to the quotient below?​
    13·1 answer
  • 2(x+3) greater than 5x+12
    14·2 answers
  • A garden contains several different types of flowers. In the garden, 2/3 of the flowers are roses. Of the roses, 1/5 of the flow
    14·1 answer
  • Find the solution of this system of equation. -4y=-64-6x, 4x-4y=-36
    13·1 answer
  • Which solid has a greater volume?
    14·1 answer
  • How do you write four million, six hundred five thousand in standard form
    5·2 answers
  • What is the scientific notation for .000472
    15·1 answer
  • Am I doing this right ?
    12·2 answers
  • 6/9 = ayuden porfa se los agradeceria​
    11·1 answer
  • Please help fast please
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!