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
AURORKA [14]
2 years ago
7

Equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Mathematics
1 answer:
Alina [70]2 years ago
7 0

y = -\frac{1}{9}(x - 1)^2 - 6

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

y = a(x - h)^2 + k

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

y = a(x - 1)^2 - 6

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6

or

a = -\frac{1}{9}

Therefore, the equation of the parabola is

y = -\frac{1}{9}(x - 1)^2 - 6

You might be interested in
Daria's goal is to run 7 miles each weekend.she ran 3 and 1/3 mules on saturday and 3 and 3/4 on Sunday. by how much did she bea
oksano4ka [1.4K]
She beat her goal. her total was 7 miles and 1/12 as she ran .1 miles longer find the lcd of 4 and 3 wich is 12 and add the num. to get 13 and that simplifed is 1 1/12+6 which is 7.1 or
7 1/12 mules
5 0
3 years ago
Y = x² + 6x + 3
olganol [36]

Vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

Step-by-step explanation:

The graph of the equation is hereby attached in the answer area.

Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(x =-3), is shown with the dotted line in the graph attached.

<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when x=0. Putting

And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of x in the given equation y =x^{2} + 6x + 3. Here, co-efficient of

So, vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

7 0
3 years ago
HELPPPPPP i will give brainliest!!!!!
Katen [24]

Answer:

10-5=5 answer is 8^5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify the following expression<br> (4.1 × 105) + (5.5 × 106)
kakasveta [241]

Answer:

It is 1130.1 hope this helps

5 0
3 years ago
What is the measure of Arc BA? An explanation would be much appreciated.
yKpoI14uk [10]

Answer:

m<BA = 180degrees

Step-by-step explanation:

First you must know that measure of <BA is 180 degrees and m<CD = m<BA

Since <CD = 16z - 12, hence;

180 = 16z - 12

16z = 180++12

16z = 192

z = 192/16

z = 12

Get <BA

m<BA = 16z - 12

m<BA = 16(12) - 12

m<BA = 192 - 12

m<BA = 180degrees

8 0
3 years ago
Other questions:
  • A pair of socks costs $2.50 originally. The price is reduced to $1.75. What is the percent change?
    7·2 answers
  • What is the slope of the line that contains the points (-6,-2) and (3,-2)
    9·1 answer
  • What is the most accurate name for the polygon shown in the figure
    8·1 answer
  • The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the
    6·1 answer
  • The value of the 4 in 429?
    9·1 answer
  • If a circle has a radius of 5 meters, what<br> is the diameter?
    6·1 answer
  • PLEASE SOLVE! Also how do you properly solve them ( please include steps)
    7·2 answers
  • (2x + 31)<br> 33°<br> 107°<br><br> what is the value of x
    12·1 answer
  • They are 14 people is if each person has two slices of pizza how many slices will be left over
    15·1 answer
  • May someone help me with this factor equation?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!