My Equation
Parent Function
DESMOS Graph. (Red is my equation and blue is the parent function)
The Vertex for my equation is (6,-7)
The Vertex for the parent function is (0,0)
Paragraph
The significance of a, is that it determines the width and direction of the parabola. When a is in between 0 and 1 the parabola will be stretched (wider than the parent function) which is what happened with mine because it was 1/2. If a is positive it opens up, if it is negative it opens down. Since mine was positive, it opened up. The significance of h is that if it’s positive it will shift to the right. If it’s negative it’ll move to the left. Since mine was positive before I plugged it into the equation it went to the right. Lastly k is significant because if it’s negative it shifts down. If it’s positive it shifts up. Mine was negative therefore it shifted down. All of these had an impact on making it different from the parent function.
Self Assessment
- I represented my equation and the parent function in two different ways. I first wrote them both down on paper and took a photo. I then used desmos to show them on a graph.
- I used the words positive, negative, parent function, equation, parabola, and vertex to demonstrate my understanding.
- I used desmos because it is a clear organized way of sharing my information. It’s a good way for visual learners to see my equation and the parent function on a graph.