This deals with quadratic functions-If I have a graph with he = (-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?
When dealing with quadratic functions, the values h and k represent the vertex of the parabola. The vertex form of a quadratic function is given by f(x) = a(x - h)^2 + k, where (h, k) represents the vertex.
In your case, the given values are h = -5 and k = 3. These values represent the coordinates of the vertex, which is (-5, 3).
To determine the translation, we consider the sign of h. If h is positive, the translation is to the right. If h is negative, the translation is to the left. In this case, h is -5, so the translation is to the left by 5 units. Thus, the translation is {-5, 3}.
It's important to note that when translating from a graph, we take into account the positive or negative sign of the given values. The opposite sign is used to indicate the direction of translation. Conversely, when translating from the quadratic equation, we use the opposite sign to account for the direction of translation.