Day 6 Graphing Quadratic Functions 2

Hi! This is Phoebe and I'm here to review what we learned in class today and yesterday.The topics I will review are: How to graph without using a table of values, the "k" value and the "h" value.

The h and k values are in reference to the equation: f(x)=a(x-h)²+k
k value is always responsible on vertical movements (or the movements in the y-axis) of the parabola, while the h value is responsible for the horizontal movements (or the movements in the x axis).
Ex.
f(x)=(x-2)²+2
Since this is just a basic parabola (because there is no number in front of the x) you don't need to do any alteration to the shape of the parabola. But you need to change the location.
In f(x)=(x-2)²+2
The blue 2 is the k value, which decides where the parabola is in the y-axis, and the green 2 is the h value that controls the x-axis. So, the parabola moved up on the y-axis by 2 and moved right on the x-axis by 2. The parabola moved to the right because when we read the h value it's always the opposite. Negative turns to Positive and Positive turns to Negative.



And that is how you graph without using a table of values :)