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
Leni [432]
3 years ago
11

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Mathematics
1 answer:
Fofino [41]3 years ago
7 0
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

You might be interested in
Multiply. Write your answer in scientific notation.<br> (8.8 x 10')(7.5 x 10<br> 10 )
lana66690 [7]
6,666,00 Feet
Answer to you’re question
7 0
3 years ago
65 - 5^13x 4 + x = 56
mylen [45]

Answer: The equation is hard to read, it's formatted kinds weirdly

But the song is It Roars

lol

3 0
3 years ago
Andy found these three ordered pairs for the equation y = 65x +250: (0, 250), (5,575), and (10,900). He graphed the ordered pair
lakkis [162]
<span>A, the highest Y value is 900 from the ordered pair (10,900) so as the least, the graph must go to 900. </span>
4 0
3 years ago
Read 2 more answers
7) 28 is 35% of what number?​
Brums [2.3K]

Answer:

80

Step-by-step explanation:

28×100÷35=80

6 0
3 years ago
Slope intercept of 3x-2y=-16
otez555 [7]

the slope intercept is 3/2 if you want the transfered equation y=3/2x+8

3 0
3 years ago
Other questions:
  • Find an equation of the line passing through the point (-1,8) and parallel to the line joining the points (-3,4) (4,-1).
    12·1 answer
  • A circle in the xy-plane is centered at (3, 0) and has a radius with endpoint (1, 8/3 ). Which answer choice is an equation of t
    12·1 answer
  • A single​ 6-sided die is rolled twice. find the probability of getting a 55 the first time and a 11 the second time. express the
    8·1 answer
  • If 50 empty soda cans weigh 3.5 pounds how much would 70 empty soda cans weigh ​
    9·1 answer
  • I need 20 characters hi please help me in the screenshot omg
    15·1 answer
  • Will mark brainliest don’t answer false.
    10·1 answer
  • What does (-2,-3) look like on a graph
    9·2 answers
  • Simplify.
    5·1 answer
  • Triangle theoroms, what is the value of x ?
    10·1 answer
  • Figure A Figure B 3 ft 10 ft 2 ft 4 ft V= 120 cu ft Find the volume of Figure B.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!