Homework Help Forum: Algebra-Please help-I'm confused
Posted by Tom on Tuesday, September 21, 2010 at 8:09pm.
This deals with quadratic functions-If I have a graph with h = (-5)and k =3 and they ask for the translation, would it be {5,3} or would the translation just be {-5,3}
Do you take the opposite of the number when it is transalated from the graph or do you only take the opposite when you transalate from the quadratic equation?
question incomplete - MathMate, Tuesday, September 21, 2010 at 9:05pm
The question seems incomplete to me.
A translation requires two of the three items of data: origin, destination, or the translation vector.
In the given question, I see only the origin (vertex), but do not find where the vertex is supposed to go, or a translation vector provided.
If you have more information, kindly post. If the vertex is to translate to the origin, say so.
Algebra-Please help-I'm confused - Tom, Wednesday, September 22, 2010 at 9:18am
There wasn't anymore. They show an upward parabola graphed with vertex h=(-5) and K=(-5) and they ask what is the translation in terms of h and k of the following graph.
Possible answers:
h=5, k=5
h= -5, k=5
h= -5 and k=-5
h=5 and k= -5
That's why I asked do I just answer where the vertex is because it is 5 to the left and five down with the upward parabola from that point or what?
I have not seen the diagram, but when presenting parabolas in the form
f(x) = a(x-h)²+k
it is usual to consider the starting point with the vertex at (0,0) and as we vary h and k, it will be translated to the final position.
Back to the question, is the vertex drawn at (-5,-5) or does the diagram indicate explicitly h=-5 and k=-5?
In the former case, you need to find the combination of values of h and k so that the vertex of the parabola sits at (-5,-5).
In the latter case, the answer is given, so it is not clear what is required.
To find the translation of the given graph, you need to understand the meaning of h and k in the context of quadratic functions.
In a quadratic function, the vertex form is given by y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.
In this case, you are given that h = -5 and k = 3, which means the vertex of the parabola is located at (-5, 3).
To find the translation, you need to determine how the vertex of the original graph is moved to the new position.
In the possible answers given, you are asked to choose the translation in terms of h and k.
Looking at the options, h and k refer to the new position of the vertex.
So, in this case, the translation would be represented by h = 5 and k = -5, which means the vertex is translated 5 units to the right and 5 units downwards from the original position.
Therefore, the correct answer would be h = 5 and k = -5.