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
inysia [295]
3 years ago
14

Write a quadratic function to model the graph to the right

Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:

y = x² + 2x + 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 1, 4), thus

y = a(x + 1)² + 4

To find a substitute (0, 5) a point on the graph into the equation

5 = a(0 + 1)² + 4

5 = a + 4 ( subtract 4 from both sides )

a = 1, thus

y = (x + 1)² + 4 ← expand and simplify

  = x² + 2x + 1 + 4

  = x² + 2x + 5

You might be interested in
If you run 3 meters per second to the left, where will you be 4 seconds after you pass zero?
LenaWriter [7]

Answer:

12 meters to the left, or -12

Step-by-step explanation:

3 meters per second for 4 seconds

Meaning it's 3 x 4

3 x 4 = 12, so therefore it's -12 meters or just 12 meters to the left.

7 0
2 years ago
Read 2 more answers
Leo is constructing a tangent line from point Q to circle P. What is his next step? circle P and point Q on the outside of circl
xxMikexx [17]

Answer:

The correct option is;

Construct a circle from point R with the radius RP

Step-by-step explanation:

To draw a tangent, the following steps are required

1) A line is drawn connecting the point to the center of the circle to which the tangent is to be drawn

2) The perpendicular bisector of the line constructed to get the mid point of the line

3) From the midpoint of the line found in the step above the compass is adjusted to reach the center of the given circle and a circular arc is drawn across the circumference of the given circle

4) The point of intersection of the arcs and the circumference of the given circle are the tangent points

Therefore, the correct option is to construct a circle from point R with the radius RP.

3 0
3 years ago
What is 3368 ÷12<br>give an explanation for your answer make sure to try and work it out ​
grandymaker [24]

Answer:

280.6 repeating

Step-by-step explanation:

I attached an image of how to do the division. It is kind of difficult to explain like this.

3 0
2 years ago
Write down the two inequality equations that go with this graph below:
Simora [160]

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

<h3>How to Write the Equation of an Inequality?</h3>

Once you know the slope (m) and y-intercept (b), in slope-intercept form y "inequality sign" mx + b, the inequality equation can be written.

Inequality equation for the Blue Line:

Find the slope (m) using the points (-2, -2) and (0, -3)

Slope (m) of the blue line = change in y/change in x = (-2 -(-3))/(-2 - 0)

Slope (m) of the blue line = 1/-2

Slope (m) of the red/pink line = -1/2

The y-intercept (b) for the red/pink line is: -3 (the value of y when x = 0).

We can use any possible inequality sign to state an inequality equation that go with the graph.

Substitute m = -1/2 and b = -3 into y ≥ mx + b:

y ≥ -1/2x - 3.

Inequality equation for the red/pink Line:

Find the slope (m) using the points (-2, -2) and (0, -5)

Slope (m) of the red/pink line = change in y/change in x = (-2 -(-5))/(-2 - 0)

Slope (m) of the red/pink line = 3/-2

Slope (m) of the red/pink line = -3/2

The y-intercept (b) for the red/pink line is: -5 (the value of y when x = 0).

Substitute m = -3/2 and b = -5 into y ≥ mx + b:

y ≥ -3/2x - 5

In conclusion, we have:

The RED or Pink inequality equation is: y ≥ -3/2x - 5

The BLUE inequality equation is: y ≥ -1/2x - 3.

Learn more about the inequality equation on:

brainly.com/question/11234618

#SPJ1

6 0
2 years ago
What is the correct answer?​
Nutka1998 [239]

Answer:

D) 8

Step-by-step explanation:

You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.

96 = 12x

/12     /12

8   =   x

5 0
3 years ago
Other questions:
  • At one store, Matt saved $15 with a coupon for 30% off his total purchase. At another store, the 24$ he spent on books is 48% of
    14·1 answer
  • Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3
    7·2 answers
  • A 20 foot lamp post casts a shadow that is 28 feet long. Standing next to the lamp post is a 6 foot tall man. About how long is
    9·1 answer
  • Which of the following relations is a function?
    9·2 answers
  • A sector has an area of 1/2 π and the central angles of 1/9 π radians. What is the area of the circle?
    12·1 answer
  • Use a property of exponents to simplify. 3Use as the base.
    5·1 answer
  • 525 divided by 9 I forgot how to divide
    12·1 answer
  • Audrey needs to remove one point from the graph so it represents a function. What points can Audrey remove?
    8·1 answer
  • What is the constant in the<br> expression below?<br> 15 – 4b<br> A<br> B<br> С
    13·1 answer
  • 3X squared plus 5X - 2 =0
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!