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
MA_775_DIABLO [31]
3 years ago
12

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

x at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6). What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x + 5)2 + 2 g(x) = (x + 2)2 + 5 g(x) = (x – 2)2 + 5 g(x) = (x – 5)2 + 2
Mathematics
2 answers:
rjkz [21]3 years ago
4 0

Answer:

g(x) = (x – 5)2 + 2

Step-by-step explanation:

D on edg

statuscvo [17]3 years ago
3 0

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

g(x)=a(x-h)^2+k                    ... (1)

where, a is a constant (h,k) is vertex.

The given function is

f(x)=x^2

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

g(x)=a(x-5)^2+2

g(x) is passes through (3, 6).

6=a(3-5)^2+2             .... (2)

6-2=4a

4=4a

Divide both sides by 4.

a=1

Substitute a=1 in equation (2).

g(x)=1(x-5)^2+2

g(x)=(x-5)^2+2

The function g(x) is g(x)=(x-5)^2+2.

Therefor, the correct option is 4.

You might be interested in
What should be subtracted from
pychu [463]

<u>-5a²+13ab</u> should be subtracted.

<h3>Step-by-step explanation:-</h3>

Based on the given conditions, formulate,

→- {a}^{2} - 4 {a}^{2} + 13ab

→-({a}^{2} - 4 {a}^{2}) + 13ab

Taking the coefficients or numbers, we get,

→(- 1 - 4) {a}^{2} + 13ab

→ - 5 {a}^{2} + 13ab

3 0
2 years ago
Read 2 more answers
Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

x + 2y= 2

Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

m = \frac{3 - 9}{1 - 4}

m = \frac{- 6}{- 3}

m =2

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

Where

m_2 = -\frac{1}{2}

(x_1,y_1) = (2,0)

y - 0 = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}x + 1

Multiply through by 2

2y = -x + 2

Add x to both sides

x + 2y= -x +x+ 2

x + 2y= 2

Hence, the line of the equation is x + 2y= 2

8 0
3 years ago
Read 2 more answers
How to write each fraction or mixed number as a decimal
4vir4ik [10]

okay lets foces on question 20. 3/20

all you need to do is times the dinominator into 100 so 20x5=100 and now you have to multipy the same number that you multiplyed the first one by so 3x5=15 so the anwer would be 15/100 and to put that in a decimal you need to see the number on top witch is 15 so your real ANWSER IS   .15

8 0
3 years ago
What value of x makes this equation true? 7x -14=35
Anna35 [415]

Answer:

7x -14=35        add 14 on both sides

7x= 49        then, divide 7 on the whole equation

<u>x=7</u>

5 0
3 years ago
Read 2 more answers
If he eats half of the total, how much did he eat?
Doss [256]
Half half half i think..
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is the graph of f(x) = x2?
    8·1 answer
  • Find the value of the expression (3x−12)−(12xy−10)(3x-12)-(12xy-10) for x=3x=3 and y=6y=6
    10·2 answers
  • Ryan buys a clock for $75 and sells it for $100. what is the percent profit
    13·2 answers
  • N-8+n=1-4n solve for n​
    6·1 answer
  • Given that the slope of a line is 1/3, what is the slope of a line that is pependicular to it ?
    5·1 answer
  • One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of
    8·2 answers
  • Can someone help me out with this
    7·1 answer
  • Who knows the answer?
    10·1 answer
  • I am a fraction equivalent to 6/8 my numerator is 16 less than my denominator what fraction am i
    13·1 answer
  • Help fast help fast help fast help fast
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!