H And K Math

The sign on a tells you whether the quadratic opens up or opens down.

H and k math. F x x the basic square root function. Students learn that if a quadratic equation is written in y k a x h 2 form the graph of the quadratic equation is a parabola with vertex h k. Therefore k p is the y coordinate of the black dot or the focus. F x x 2 the basic cubic function.

The value of k is the vertical y location of the vertex and h the horizontal x axis value. If the value of a is positive the parabola opens upward if the value of a is negative the parabola opens downward if the absolute value of a is greater than 1 the parabola is narrow and if the absolute value of a is less than 1 the parabola is wide. Y sqrt x in each of these functions you will investigate what the parameters a h k will. The basic quadratic function.

We re going to refer to this function as the parent function. F x x 3 the basic absolute value function. The value of a is the same as with the standard form it determines the steepness of the parabola and the sign of a determines if the curve open upwards or downwards. Transformations of graphs a h k author.

The a in the vertex form is the same a as. The following applet allows you to select one of 4 parent functions. Y a x h 2 k where h k is the vertex. In y ax2 bx c that is both a s have exactly the same value.

Consider the function y f x. How to derive the standard equation of a parabola when its vertex is located at h k the graph above shows a parabola whose vertex is the orange dot located at h k.