Which statement correctly describes the relationship between the graph of f(x)=4x and the graph of g(x)=f(x) 3 ?

1 answer:

5 0

The question is the which statement describes the relationship between the graph f(x) = 4x and the graph g(x) = f(x) + 3

The answer is option a. the graph of g(x) is translated 3 units up from the graph of f(x).

You can realize that every image of g(x) (this is the y-coordina) is the image of f(x) + 3 units, then all the y-coordinates of g(x) are 3 units upper than the y-coordinates of f(x).

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Writing an equation of a probably given the vertex and focus

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The equation of the vertical parabola in vertex form is written as

$y=\frac{1}{4p}(x-h)^2+k$

Where (h, k) are the coordinates of the vertex and p is the focal distance.

The directrix of a parabola is a line which every point of the parabola is equally distant to this line and the focus of the parabola. The vertex is located between the focus and the directrix, therefore, the distance between the y-coordinate of the vertex and the directrix represents the focal distance.