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mixer [17]
3 years ago
7

Let f(x)=4^x. The new function g(x)=f(x-1)+3 represents transformations that were made to function f. Type the new equation for

g. g(x)=___
Describe the two types of transformations that occur between function f and function g. (use words like up, down, left, right, compression or stretch in your answer.)

Mathematics
2 answers:
Naddik [55]3 years ago
7 0

Answer:

g(x)= 4^{x+1}+3

BabaBlast [244]3 years ago
6 0

Answer:

g(x) = 4^{(x-1)}+3

Step-by-step explanation:

Given exponential function is,

f(x) = 4^{x}

If the given function is shifted 1 unit to the right,

h(x) = f(x - 1)

      = 4^{(x-1)}

If the function 'h' is shifted 3 units up,

g(x) = h(x) + 3

      = 4^{(x-1)}+3

Therefore, transformed function will be,

g(x) = 4^{(x-1)}+3

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Step-by-step explanation:

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3 years ago
Question 12 (1 point)
Paraphin [41]
<h3>Answer:   5</h3>

=================================================

Explanation:

Let's consider the expression (x-y)^2. It expands out to x^2-2xy+y^2. The terms are:

  • x^2
  • -2xy
  • y^2

Each of those terms either has a single variable with an exponent of 2, or has the exponents add to 2. Think of 2xy as 2x^1y^1.

In short, this means that the degree of each monomial term is 2.

----------

Now consider (x-y)^3. It expands out into x^3-3x^2y+3xy^2+y^3.

We have terms that either have a single variable and the exponent is 3, or the exponents add to 3. The degree of each term is 3.

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This pattern continues.

In general, for (x-y)^n, where n is any positive whole number, the degree of each term in the expansion is n. If you picked any term, added the exponents, then the exponents will add to n.

4 0
3 years ago
Hector can paint (128
marysya [2.9K]

Answer:

16

Step-by-step explanation:

128/8= 16

8 0
3 years ago
Find the equation of a line that passes through the point (-2,1) and has a gradient of -3.
zavuch27 [327]

A straight line passing through the point (-2,1) and having a gradient of -3 yields the equation y = -3x - 5.

We know that a straight line is an infinitely long line with no curves on it. A straight line's equation is

y = mx + c...(1), where m is the gradient of the straight line and c is a constant.

Given that the gradient of the given straight line = m = -3.

Putting this value in (1), we get

y = -3x + c ...(2)

Again, the given straight line passes through the point (-2,1). So, we can put x = -2 and y = 1 to get the value of the constant c.

So, 1 = (-3)(-2) + c

i.e. 6 + c = 1

i.e. c = 1 - 6 = -5

(2) can be written as

y = -3x - 5

Therefore the equation of the given straight line is

y = -3x - 5

Know more about straight lines here -

brainly.com/question/8085796

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6 0
2 years ago
Answer the following questions about slope and y-intercept.
torisob [31]

Answer:

1. The y-intercept

2. The  slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10

Step-by-step explanation:

1. The value of the y coordinate at the point which the graph meets the y-axis is called to the y-intercept. It is the value at which the x-coordinate is equal to zero, that is, the coordinate of the point at the y-intercept = (y, 0)

2. Given that Clarissa eats 1 piece of chocolate every 10 seconds, we have the  slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10.

7 0
3 years ago
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