If f(x) = x3 and g(x) = (x + 1)3, which is the graph of g(x)?
2 answers:
As you can see below, in red is <span>g(x) = (x + 1)^3 and in blue is f(x)=x^3. Adding 1 to x moves the graph to the left by 1.
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Hope this was the answer you were looking for and I hope you have a great day!
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Answer:
the graph of g(x) is a horizontal transformation of f(x) 1 units to the left.
Step-by-step explanation:
Given the parent function:
Rule of Horizontal transformation:
If y =f(x) , then y= f(x+k) gives a function that is translated k units towards the left side.
then;
By definition of horizontal translation:
Therefore, the graph of g(x) is a horizontal transformation of f(x) 1 units to the left.
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Answer:
See explanation below for further details.
Step-by-step explanation:
A rational consist of two real numbers such that:
If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.
If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.
Example:
If and
, then:
If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.
Example
If and
, then:
But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.
Example
If and
, then:
Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.
If and
, then:
Example
It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.
Example
Answer:
The answer is
<h2>Step-by-step explanation:
To find the equation of a line given a point and slope we use the formula
<h3>y - y1 = m(x - x1)</h3>where
m is the slope
( x1 , y1) is the point
From the question
Slope / m = - 2
The point is ( 10, - 9)
Substitute the values into the above formula
That's the final answer is
<h3>Hope this helps you
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