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
NNADVOKAT [17]
3 years ago
9

Vertex of -2(x+3)^2+7

Mathematics
1 answer:
alekssr [168]3 years ago
6 0

Answer:

The vertex is (-3, 7)

Step-by-step explanation:

As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:

the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.

So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).

Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).

You might be interested in
Write.82 as a percent and a fraction.​
Marizza181 [45]

Answer:

82% and 82/100 (or 41/50)

Step-by-step explanation:

multiply 100 times .82 to get the percent

.82 is 82/100

7 0
3 years ago
PLZZ HELP ME THIS IS A NO RETAKE QUIZ IT WOULD BE GREATLY APPRECIATED
MariettaO [177]

Answer:122

Step-by-step explanation:

4 0
3 years ago
Write the equation of the line, given the y and x-intercepts:
kolezko [41]

Answer:

The answer to your question is:                161x + 17y - 391 = 0

Step-by-step explanation:

Data

y-intercept = 23         Get the points      (0, 23)

x- intercept = 4.75                                   (4.75, 0)

                      4.75 = 17/4                         (17/4, 0)

slope

              m = (y2 - y1) / (x2 - x1)

              m = (0 - 23) / (17/4 - 0)

              m = -23 / 17/4

             m = - 161 / 17

equation

              (y - y1) = m (x - x1)

              ( y - 23) = -161 / 17 (x - 0)

               y - 23 = -161/17 x

              17(y - 23) = -161x

              17y - 391 = -161x

              161x + 17y - 391 = 0

7 0
3 years ago
Which equation represents a line perpendicular to the line shown on the graph?
Vadim26 [7]

Answer:

See description below.

Step-by-step explanation:

To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.

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

When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.

Example:

y = 2x -1

y= -1/2 +5

4 0
3 years ago
Find the gradient of the line segment between the points N(-1,2) and M(-6,3)​
siniylev [52]

Answer:

1/5

Step-by-step explanation:

Gradient is another word for slope. To find the gradient, we have to use a formula.

8 0
3 years ago
Other questions:
  • How many 1000s are in 287,123
    12·2 answers
  • The are of a rectangle is (x^3-5x^2+3x-15), and the width is (x^2+3). If area=length x width, what is the length of the recatang
    5·1 answer
  • How do you reduce the number 6 33/16
    10·2 answers
  • Problem page ali made a shirt using 15 meters of yellow fabric and 12 meters of green fabric. how many meters of fabric did he u
    11·2 answers
  • What is -x - 11 + 3x - 23 = -2<br> A = 16<br> B = 18<br> C = -18<br> D = -16
    11·2 answers
  • What is the product of x/3 and 6/x when x does not equal 0
    6·1 answer
  • Can someone please help ?!
    12·1 answer
  • What is the value of k ?
    7·2 answers
  • 5, x 10^ 5, is how many times as large as 1 x 10^5 <br> ?
    5·1 answer
  • You start driving west for 20 miles, turn left, and drive south for another 14 miles. At the end of driving, what is your straig
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!