How would I find the a for the equation y= a(x-h)^2+k. I'm looking at a graph, and I can solve for everything except for a. What is it supposed to be?
If you can see the vertex, fill in those values
e.g. if the vertex is (5,7)
your equation would be
y = a(x-5)^2 + 7
Now see if you can find another point given on your curve, and sub that point in for the x and y, leaving a as the unknown that you can solve for.
Thank you.
If you have a equation how do you transfer that into a table?
without using a graphing calculator?
how do you make a table out of an equation??
To find the value of 'a' in the equation y = a(x-h)^2 + k, you can use the information from the graph.
1. Locate any point (x, y) on the graph. Make sure that the point is not the vertex (h, k) of the parabola, as it would not provide enough information to find 'a'.
2. Substitute the values of (x, y) from the identified point into the equation y = a(x-h)^2 + k. This will give you an equation involving 'a'.
3. Solve this equation for 'a' by rearranging the terms. You might need to use some algebraic manipulation to isolate 'a' on one side of the equation.
Once you solve the equation for 'a', you will have the value of 'a' specific to your graph or the given point.