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
VMariaS [17]
3 years ago
5

Which direction does the graph of the equation shown below open?

Mathematics
2 answers:
Nonamiya [84]3 years ago
4 0

Answer:

A. Right

Step-by-step explanation:

Given

y^2-4x+4y-4=0

Isolating x

y^2 + 4y - 4 = 4x

(y^2)/4 + y - 1 = x

Which is a parabola in the single variable y. That means the curve may open to the right or to the left.

The y component of the vertex of the parabola (y_v)is calculated as

y_v = \frac{-b}{2 \times a}

where a is the coefficient of the quadratic term and b the coefficient of the linear term. Replacing in the formula:

y_v = \frac{-1}{2 \times 1/4} = -2

Replacing this value in the quadratic formula we get the x component of the vertex x_v

x_v = y_v^2/4 + y_v - 1

x_v = (-2)^2/4 + -2 - 1

x_v = -2

Now, we have to get another point in the curve. For example, taking y = 0, we get:

x  = (y^2)/4 + y - 1

x  = (0^2)/4 + 0 - 1

x = -1

Then, the points (-2, -2) and (-1, 0) belong to the parabola, and in consequence, it opens to the right (see figure attached).

Mnenie [13.5K]3 years ago
3 0
Option A.

you can rewrite the equation as x = y^2 / 4 + y - 1

If you conserve the traditional x-axis and y-axis, the parabola opens to the right (the symetry axis is parallel to x and the function grows as y grows).
You might be interested in
Can someone please help me with this?
valentina_108 [34]

Answer:

L: 110 W: 90

Step-by-step explanation:

110 + 110 + 90 + 90=400 (perimeter)

110 x 90 =9900 (new area that is greater than the original)

ding ding.

also this was not worth only five pts man LOL

3 0
2 years ago
Read 2 more answers
What is the answer to n+7=18?
Klio2033 [76]

Step-by-step explanation:

n=11

.................

4 0
3 years ago
Read 2 more answers
There a 12 pumpkins at the grocery store and you are going to select 3 to take home. How
Virty [35]
Hello do 9+46=684 there you go to find sum 69
3 0
3 years ago
Emmett bought 10 packages of cat food and 3 packages of dog food. Each package of cat food contained 10 cans, and each package o
xz_007 [3.2K]

Answer: Emmet bought 94 more cans of cat food than dog food.  

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Change 0.7 to a common fraction
madam [21]
0.7 =  \frac{7}{10}
4 0
3 years ago
Read 2 more answers
Other questions:
  • The figure shows the construction steps to bisect an angle. The steps are in an incorrect order. What is the correct order of th
    5·1 answer
  • ) A room measures 15 feet long and 12 feet​ wide, with a​ 9-foot ceiling. There is a single doorway in one wall that measures 3
    13·1 answer
  • Margot is studying the yield of bushels of wheat in comparison to the amount of rainfall, in inches, that occurs. She finds the
    11·2 answers
  • A piece of wire of length 6363 is​ cut, and the resulting two pieces are formed to make a circle and a square. Where should the
    15·1 answer
  • Need help please help me
    12·1 answer
  • read the following numbers and decide what the next number should be.( 12 ,21, 23, 32 ,34 ,43, 45..) is the answer 38, 54, 58, 0
    8·1 answer
  • Solve this please <br> 3(2y+3)-4y=-3
    9·2 answers
  • A greater number than -8​
    8·1 answer
  • Find the surface area of the prism.<br> 7 yd<br> 7 yd<br> 7 yd
    6·1 answer
  • 6. Write the equation of the line in slope-intercept form given the following:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!