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pychu [463]
3 years ago
7

How can you use transformations to graph this function?

Mathematics
2 answers:
valentina_108 [34]3 years ago
8 0

Answer:

Sketch the graph of y=7^x

Reflect the graph across the y-axis to show the function y=7^-x

Stretch the graph vertically by a factor of 3 to show the function y= 3*7^-x

Shift the graph up 2 units to show the function y=3*7^-x+2

Step-by-step explanation:

tatuchka [14]3 years ago
7 0
The parent function for this function is 

f(x)=  7^{x}

We have to explain how the given function can be obtained from the parent function.

Let y=g(x)

So, 

g(x)=3*7^{-x} +2

Notice that x in the exponent is multiplied by -1. Multiplying x by -1 implies the reflection of the graph across y-axis.

The function value is multiplied by 3. This suggest a vertical expansion by a factor of 3.

2 is being added to the function value, this implies a vertical shift upwards by 2 units.

So, we can write:

y = g(x) = 3f(-x) + 2

Thus following translations are applied:

a) Reflection across y-axis
b) Vertical stretch by a factor of 3
c) Upward shift by 2 units
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zaharov [31]

Answer: 72 miles

Step-by-step explanation:

4 0
3 years ago
I need help!<br><br>solve for x​
Volgvan

Answer:

x = 40

Step-by-step explanation:

Here's a fun fact, all of those angles actually add up to 360 degrees!

How do we know this? Well if you were to draw a small arc between each of the lines, you would see that the arc would end up making a circle. And remember, circles have 360 degrees!

Now we can do some basic algebra. Add up all the angles and set that equal to 360.

(2x) + (x) + (3x + 20) + (2x+20) = 360.

8x + 40 = 360

8x = 320

x = 40

Hope this helped!

4 0
2 years ago
Consider the polynomial f(x)=2x^5-3x^4+x-6 (x )equals 2 x Superscript 5 Baseline minus 3 x Superscript 4 Baseline plus x minus 6
melamori03 [73]

Answer:

degree of polynomial = 5

leading term = 2x^{5}

leading coefficient = 2

constant term = -6

Step-by-step explanation:

f(x) = 2x^{5}-3x^{4}+x-6

(i) The degree of the polynomial = 5. That is, the highest power of x

(ii) Leading term = 2x^{5}. This is the term with the highest power of x.

(iii) Leading Coefficient = 2. That is, the coefficient of the leading term (2x^{5})

(iv) Constant term = -6. This is the term that is independent of x or the term in which x doesn't appear.

3 0
3 years ago
Y=2x+4<br> y=x=6<br> i need help solving the system of equations
Temka [501]

Answer:

X = 6

Y = 6

Step-by-step explanation:

y = x = 6

we won’t pay attention to the first equation because this equation says that:   “y = x” and “x = 6”

so, if x = 6, so will be y

3 0
3 years ago
The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 10^7 kilometers, and the distance of Earth from the Sun is 1.
egoroff_w [7]

Answer:

The answer is 9.2 * 10^7

Step-by-step explanation:

(1.5*10^8)-(5.8*10^7)=92,000,000

92,000,000= 9.2* 10^7

6 0
2 years ago
Read 2 more answers
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