Warm Ups: Quiz Review Write a rule for “g” and identify the vertex: 1) Let “g” be a translation 2 units up followed by a reflection in the x – axis and a vertical stretch by a factor of 4 of the graph of f(x) = x 2. 2) Let “g” be vertical shrink by a factor of ⅓ followed by a translation 2 units up and 4 units left of the graph of f(x) = x 2. Find the x – intercepts and vertex of the graph of the function. Then describe where the function is increasing and decreasing. 3) g(x) = -1(x – 4)(x + 2)4) g(x) = ¼(x – 6)(x – 3)

Warm Ups: Solve: 1) 2) 3) 4)

2.3 Notes: Parts of a Parabola

So, how do we use this? 1) Make sure the x or the y (NOT the x 2 or the y 2 ) are alone. 2) Find the p value 3) Find the vertex. 4) Graph the parabola

Let’s try some: 1) -4x = y 2 2) 4y = -x 2 3) 2x = y 2

Writing equations from a graph: 1) Find the vertex, label the “h” and the “k” 2) Determine the “p” value 3) Plug the values into the appropriate formula

Let’s try some:

3) Focus (-2, 0)4) Directrix x = -4

Warm Ups

Translated Parabolas: The Basics

So, how do we graph them? 1) y = - ¼(x + 2) ) x = (y + 3) 2 - 5

What about writing equations?