Write an equation in slope-intercept form of the line that passes through (-1,-3) and is parallel to the graph of y=4.
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
A parabola is written in the form
(1)
where:
is the x-coordinate of the vertex of the parabola
is the y-coordinate of the vertex of the parabola
is a scale factor
For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:
(2)
From this last equation, we get that (3)
Substituting (2) and (3) into (1) we get the new expression:
(4)
We also know that the parabola contains the point (2,-1), so we can substitute
x = 2
f(x) = -1
Into eq.(4) and find the value of k:
So we also get:
So the equation of the parabola is:
(5)
Now we want to rewrite it in the standard form, i.e. in the form
To do that, we simply rewrite (5) expliciting the various terms, we find:
Answer:
A.
Step-by-step explanation:
The options are:
For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:
Where "a" is the base.
There are several transformations for a function f(x), some of those transformations are shown below:
1. If and
, then the function is stretched vertically by a factor of "b".
2. If and
, then the function is compressed vertically by a factor of "b"
Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:
Where the factor is:
And