Equation/Equation Of The Parent Function-
Graph-
The “h” and “k” values in the function, represent the vertex. This is important as it tells you what the vertex is, although the “h” value is changed, as it will either switch to negative or positive when plugged into the function. The “h” and “k” values let us envision what the graph looks like compared to the parent function. My parabola is different from the parent function as the values are not the same. Both consist of different values, because of this they are in different locations on the graph. Both have their own vertex, different axis of symmetry, x-intercepts, their own range and own minimum values. Although they share the same domain of all real numbers. The “h” value is also important as it indicates how far the graph moves horizontally, while “k” represents the vertical shift. And “a” tells us how much the graph stretches or shrinks vertically. Although if “a” is a negative it indicates that the function is then reflected over the x-axis(upside down). The value “k” in my parabola is -1 because of this my graph is lowered by 1. As well as my “h” value is 7 this meaning my “x value for the vertex is 7, these two value make my parabola different from the parent function. Also because my “A” value is 1/2 it stretches my parabola.
Self Assessment-
I used the same strategies to represent my work, I plugged in a number into the “x” value to find the “y” value for both types of functions. This then giving me the values of both “x” and “y”. I was able to state what the vertex was from both functions, and once graphed out, I was able to recognize the domain, range, x intercepts, minimum value, and more. I showed my work for this by graphing out the two functions, and neatly showing the work behind finding different “x” and “y” values for each function.
