Effect on x and y axis?
Hi,
let us assume we have f(x)=ax^n+bx+c
If I am correct:
a = stretch factor
n = specifies the type of graph (graph of a root function, parabola…)
c = displacement in y-direction
And if you trust Geogebra (I'll just do that now), the change in b shifts the graph on the y and x axes, but not equally and (as far as I could see) not dependent on c (in any case, you can leave out c and the changes in the y and x directions are still not equal).
How can I calculate how much the graph shifts in the x or y direction for a change of b by 1.
thanks in advance
Best regards
(No Ratings Yet)
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f(x) = ax^n + bx + c
To investigate the influence of the term b*x on f(x), it is sufficient to consider the term b*x isolated.
If a constant such as c to f(x) is added, the graph is shifted upward by c. If c is negative, then down. The image of f(x) remains unchanged because c remains constant over the entire x axis.
This also applies to the term b*x. Here, however, it is added that the displacement upwards/lower depends on x.
b*x is a straight line through the zero point with gradient b. This is the
g(x)=ax^n+c added.
This is a linear displacement, the measure of which depends on x. The larger/smaller x becomes, the larger/smaller the shift b*x and changes the image of f(x).
Thanks for the star
The b cannot be arranged so easily. Look at the creation of the apex in parabola.
Supplement: The displacement is also not always represented by c.