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
Semmy [17]
11 months ago
15

See question in screenshot below.

Mathematics
1 answer:
alexgriva [62]11 months ago
3 0

The equation of the transformation of the exponential function <em>y</em> = 2ˣ in the form <em>y</em> = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is <em>y</em> = (-2)·2ˣ + 3

<h3>What is an exponential equation?</h3>

An exponential equation is an equation that has exponents that consists of variables.

The given equation is <em>y</em> = 2ˣ

The equation for the transformation is; <em>y</em> = A·2ˣ + k

The points on the graphs are;

(0, 1), (1, -1) and (2, -5)

Plugging the <em>x </em>and <em>y</em>-values to find the value <em>A</em> and <em>k</em> gives  the following simultaneous equations;

When <em>x</em> = 0, <em>y</em> = 1, therefore;

1 = A·2⁰ + k = A + k

1 = A + k...(1)

When <em>x</em> = 1, <em>y</em> = -1, which gives;

-1 = A·2¹ + k

-1 = 2·A + k...(2)

Subtracting equation (1) from equation (2) gives;

-1 - 1 = 2·A - A + k - k

-2 = A

1 = A + k, therefore;

1 = -2 + k

k = 2 + 1 = 3

k = 3

Which gives;

y = -2·2ˣ + 3 = 3 - 2·2ˣ

Learn more about the solutions to simultaneous equations here:

brainly.com/question/26310043

#SPJ1

You might be interested in
Please help I will mark Brainly
Sedbober [7]
The answer for your question is 686
8 0
2 years ago
Read 2 more answers
A student found the slope of a line that passes through the points (1, 14) and (3, 4) to be 5. What mistake did she make ?
adoni [48]
It would be negative 5 since it is going down.
5 0
3 years ago
Make an approximate conversion from English to metric. <br><br> 9 ft to meters
Anna71 [15]

Answer:

2.7 meters

Step-by-step explanation:

I hope this helped

4 0
2 years ago
A = bh; A =96, b = 12 What does h equal?
Elza [17]
96=12.h
h=96/12
h= 8
6 0
2 years ago
How many square units are in an office that is 13 units by 9 units? 22 117 121 130?
julsineya [31]
Square units are the units of measuring area. Therefore, this question asks for the area of the room.

The room has the shape of a rectangle with:
length = 13 units and width = 9 units

The are of the rectangle can be calculated using the following rule:
area of rectangle = length * width
area of the room = 13 * 9 = 117 square units
8 0
3 years ago
Other questions:
  • Find the percent of the number.<br> 20% of 60 is
    14·2 answers
  • True or False? If a radius of a circle intersects a chord, it is perpendicular to that chord.
    11·2 answers
  • Round 11,367 nearest thousand
    7·1 answer
  • What is the slope of the line that passes through (-3,7) and (5,-1)
    12·1 answer
  • Easy math true or false?
    11·2 answers
  • If you shift the quadratic parent function f(x))=x^2right 12 units what is the equation o the new function
    11·1 answer
  • pls help. Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each
    10·1 answer
  • Please answer I will mark as brainliest​
    8·1 answer
  • Which is the correct answer A B C D ?
    6·1 answer
  • If a Touchdown is worth 7 points and a
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!