Parent Function (Blue):
Assigned Function (Red):
Graphed Function:
Explanation:
In my equation, it is shown that my parabola (Red) is shifted to the left instead of being in the center. This is because the “h”, in this case, 4+, makes it go to the left by four spots because a positive number makes it go left and a negative number makes it go right. Then, it is also shown that the vertex of the parabola is much higher than the parent function, this is because the “k” in the assigned function is 5. and on top of that, compared to the parent function, the parabola looks a little more compressed, this is because of how the “a” is a 3. a higher number makes the parabola more compressed while a lower number would make the parabola more wide.
Reflection:
1. I was able to comprehend multiple values in the function and elaborate on how each variable was able to do different things to the parabola.
2. Vocabulary used: Parabola — a graphed equation of the function, positive number — a number more than 0, negative number — a number less than 0, vertex — the point in which the line of symmetry and maximum/minimum value intercept, compress — to “squeeze or press into a smaller footprint,
3. I first wanted to show what I would be talking about by showing relevant information before any of the text is shown until the reader scrolls down.