Absolute Value assignment 1.
by Alex Bridges
There are 2 different types of translations vertical translations which move the k, and horizontal which move the h. There are reflections which are from negative a's, and a dialation which stretches or compresses. You can tell if a is negative it is a reflection, if a is more than one then it is a stretch, if a is between zero and one then it is a compression. If h is positive it goes right, but you have to solve for h if the solution is positive it goes right, if not it goes left. For k if k is positive it goes up if not then you go down.
identify the vertex and state the transformations to y=-3x+1-4
the vertex is -1, -4 and the first part of the transformation is moving the graph down four and left one. the graph will stretch vertically by three and reflect over the x axis.
Find the absolute value equation that has a vertex of (-1, 3) and goes through the point (0, 0). Explain how you find it
y= -3 |x+1| +3
first I plugged in negative one and three as the h and k then I plugged in zero as the x and zero as the y and solved for a. Once I found a I plugged that in and thus the equation.
find the zeroes from eqaution 3
the zeroes are zero and negative two.
explain how the zeros relate to the graph
the zeroes are also the x intercepts in the v graph.