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
MrMuchimi
3 years ago
6

Can I get help with this

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

You might be interested in
What value of x is in the solution set of 2x - 3&gt; 11 - 5x?<br> -3<br> 0<br> 02<br> 4
Oliga [24]
The value of x is 2. hope it helps!
8 0
3 years ago
Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod
ICE Princess25 [194]

Answer:

Yes, the triangles are simirar with a scale factor of 3/2.

Step-by-step explanation:

We find the scale factor by dividing corresponding sides:

12/8=3/2

18/12=3/2

24/16=3/2

4 0
3 years ago
Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D
34kurt

Answer:

Option D. y=\frac{1}{3}x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

y=x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=0+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

y=1-\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=1-\frac{1}{3}(0)=1

so

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

y=3x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=3(0)+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

y=\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=\frac{1}{3}(0)=0

so

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0
3 years ago
A boat traveled 60 miles downstream and back. The trip downstream took 3 hours. The trip back
Katen [24]
The trip back the boat will travel only 30 miles because the trip doubled the hrs.
5 0
3 years ago
Read 2 more answers
PLEASE HELP ME!
ELEN [110]

Answer:

the answer is c

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • X2 −2x + y2 − 6y = 26 what is the radius
    7·1 answer
  • What is the equation of a line with a slope of ​3​ and a point
    8·1 answer
  • You are having a discussion about sequences with your classmate. She insists that the sequence 2, 3, 5, 8, 12 must be either ari
    11·1 answer
  • Slope from two points
    14·1 answer
  • Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. ​(b) Find the critical​ value(s) and identify the
    14·1 answer
  • I don't know how to do this
    15·1 answer
  • Please answer ASAP, thanks!​
    13·1 answer
  • 15 of the 25 students Brought their own lunch. What percent of the students brought their own lunch?
    8·1 answer
  • Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in four yea
    7·1 answer
  • Helpppppppppppppppppppppppppppppppppppppppppp
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!