Sec 7: Parabolas Homework: 1. Graph and Label all parts of 𝑦=− 𝑥 2 +2𝑥+5 using the graphing calculator 2. Practice 5-3 Worksheet #1-12 Sec 7: Parabolas Learning Target: I will graph the equation of a parabola or write an equation given a parabola.

Ex 1: Parts of a Parabola and Using the Graphing Calculator LABEL EACH OF THE FOLLOWING ON THE GRAPH . 1. x-axis, y-axis 2. x-intercept(s),y-intercept(s) 3. Vertex 4. Maximum and/or Minimum 5. The point on the graph at f(-2).

Ex 3: A man throws a ball several feet off the top of a building, landing after x seconds, modeled by the following: Graph f(x) = -16x² + 33x + 46 with a domain of 0 ≤ x ≤ 5 and a range of 0 ≤ y ≤ 80. What do each of the following represent and then label on the graph: x-axis y-axis Relationship between the x and y-axis x-intercepts y-intercept Vertex (tell if max or min) f(3)

Parabola in Vertex Form A parabola in vertex form is 𝑦=𝑎 𝑥 −ℎ 2 +𝑘 where (h, k) is the vertex and a is the beginning width (similar to slope) of the parabola.

Ex 4: Graph the following parabolas 𝑦=2 𝑥 −3 2 +2 𝑦=−3 𝑥+2 2 −1 𝑦=− 𝑥 −5 2 +3 * What does the negative in front of the equation do?

Ex 5: Write the equation of the parabola

You will need Graph Paper! HOMEWORK Graph and Label all parts of 𝑦=− 𝑥 2 +2𝑥+5 using the graphing calculator Practice 5-3 Worksheet #1-12 You will need Graph Paper!