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
galben [10]
3 years ago
11

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

o vertex form f(x) =  (x-h)^{2} + k by completing the square. a(x-h)^{2} +k by completing the square.
f(x) = x^{2}  +7x-1
Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

Vertex form: f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = x ^ 2+ 7x -1

The values of the coefficients for the function are the following: a = 1, b =7, c = -1

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= \frac{7}{2}

(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}

Add and subtract \frac{49}{4}

f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1

Write the expression of the form

f(x) = (x+\frac{b}{2})^2 +k

f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

You might be interested in
Prove how they are congruent. Geometry:SSS
Andrej [43]

The <em>additional information</em> needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: <em>C. HJ ≅ LN</em>

<em>Recall:</em>

  • Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.

Thus, in the two triangles given, the two triangles has:

  • Two pairs of congruent sides - HI ≅ ML and IJ ≅ MN

Therefore, an <em>additional information</em> needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: <em>C. HJ ≅ LN</em>

<em />

Learn more about SSS Congruence Theorem on:

brainly.com/question/4280133

5 0
2 years ago
Read 2 more answers
The vertex of the parabola below is at the point (1, 5), and the point (2, 8) is on the parabola. What is the equation of the pa
N76 [4]

Answer: B

Step-by-step explanation:

the parabola having (1,5) as vertex have as equation:

y=k*(x-1)²+5

It is passing through (2,8)

8=k*(2-1)²+5 ==> k+5=8 ==> k=3

equation is  y=3(x-1)²+5

Answer B

6 0
2 years ago
Use the reference angles to find the exact value of the expression cot -11 pi/6. Do not use a calculator
laiz [17]

Answer:

\sqrt{3}

Step-by-step explanation:

cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=\sqrt{3}≈1.73

7 0
3 years ago
1.5x+0.75y what does x variable
Illusion [34]

Answer:

1.5

Step-by-step explanation:


3 0
3 years ago
Can anyone help it would mean alot im struggling right now
Setler79 [48]

Answer:

what do you need? ^-^ I can help you

6 0
2 years ago
Other questions:
  • At 10:57 A.M. A submarine was at a depth of feet. Its depth then changed at a rate of -8 feet per minute. What was its depth at
    11·1 answer
  • Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. Ans
    7·1 answer
  • Marcus Butler book of tickets to use at the amusement park has 50% of the tickets on rides one third of the tickets on video gam
    6·1 answer
  • A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6. Use this information to scale the horizo
    6·1 answer
  • The y-value is ten decreased by the square of the x-value
    5·1 answer
  • Give the most specific name for the quadrilateral. Explain your reasoning.
    8·1 answer
  • Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.​
    5·1 answer
  • Do you guys know what -24/-6 =
    11·2 answers
  • After several years of working, Katy has saved $125,000. If she invests that $125,000 in a savings fund that adds 4% each year,
    10·1 answer
  • (06.04 MC)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!