All categories

3 years ago

21. The parent function of the following graph is f(x) = 2^x. What is the equation of the following graph?

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

8 0

Answer:

Step-by-step explanation:

vaieri [72.5K]3 years ago

7 0

Plug x = 0 into f(x) to get

f(x) = 2^x

f(0) = 2^0

f(0) = 1

The y intercept (0,1) is on the graph of f(x).

The y intercept for the red curve shown is (0,3). It has been moved up two units compared to (0,1)

Therefore, g(x) = f(x)+2 where g(x) represents the red curve.

g(x) = f(x) + 2

$g(x) = 2^x + 2$ is the answer

You might be interested in

What is the length of BC? 24 36 48 30

kotykmax [81]

Answer:

48/24

Step-by-step explanation:

You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.

7 0

2 years ago

Subtract the sum of (+3) and (6-0) from (-60). The result is

umka21 [38]

Answer:-69

Step-by-step explanation:

The sum of +3 & (6-0)=9

-60-(+9)=-69

7 0

2 years ago

Please help. also, i hope you enjoyed you holidays !

lions [1.4K]

Answer:

1. angle AXB

2. 52

Step-by-step explanation:

1.supplementary is 180⁰

2.90-38=52

6 0

2 years ago

H function is even, odd, or neither. b. g(x) = x² - 2 Is it odd or even

o-na [289]

$g(x) = x^2 - 2 \text{ is even function }$

Solution:

Given that,

$g(x) = x^2 - 2$

We have to find whether the above function is odd or even

If a function is: y = f(x)

If f(-x) = f(x), the function is even

If f(-x) = - f(x), the function is odd

Which is,

$\mathrm{Even\:Function:\:\:A\:function\:is\:even\:if\:}f\left(-x\right)=f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}\\\\\mathrm{Odd\:Function:\:\:A\:function\:is\:odd\:if\:}f\left(-x\right)=-f\left(x\right)\mathrm{\:for\:all\:}x\in \mathbb{R}$

From given,

$g(x) = x^2 - 2$

Replace x with -x

$g(-x) = (-x)^2 - 2\\\\g(-x) = x^2 - 2$

Therefore,

$g(x) = g(-x)$

Thus the function g(x) is even

4 0

2 years ago

Write the function for the following chart,

timurjin [86]

Dy/dx=1/2, 1/2, 1/2 etc

So this is a linear equation of the form y=mx+b where m=dy/dx=1/2 so

y=x/2 +b, now we can use any point to solve for the y-intercept, "b", I'll use (7,0)

0=7/2 +b

b=-7/2 so

y=x/2-7/2

y=(x-7)/2

7 0

2 years ago