Warm Up HW: Quadratics Review Worksheet

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Presentation transcript:

Warm Up HW: Quadratics Review Worksheet Which of the following is a Quadratic Function? A. y = 3 𝑥 2 +1 B. y = 5 𝑥 −2 C. y = 2𝑥 2 + 5 D. Y = 7x - 4 What is the parent Quadratic Function?

Time to go over your Homework!!!!! Homework Check Time to go over your Homework!!!!!

Mini Quiz Time You will have 15 Minutes

Today’s Lesson: Quick Review on Quadratic Functions March 20, 14

Evaluating Functions For the function 𝐟 𝐱 = 𝟐𝒙 𝟐 +𝟑, find the following: f(2) f(-1) f(7) f(-3)

Solving Quadratics (4t + 1) (t – 2 )=0 𝟒𝐝 𝟐 +𝟏𝟔=𝟏𝟔 Solve the following Quadratics (4t + 1) (t – 2 )=0 𝟒𝐝 𝟐 +𝟏𝟔=𝟏𝟔

More Solving Quadratics Solve the following Quadratic Function 𝑥 2 +8𝑥+15=0 4𝑥 2 −21𝑥=18

Transformations Identify the transformations that need to be applied to the graph of the parent function 𝐲= 𝒙 𝟐 𝒚= 𝒙 𝟐 +𝟏𝟎 𝐲= 𝒙 𝟐 −𝟕 𝐲= 𝟏 𝟑 𝒙 𝟐 +𝟐 𝒚= −𝟑𝒙 𝟐 - 5

More Transformations Write the equation of the function described by each of the following transformations of the graph of 𝐲= 𝒙 𝟐 Translated up 15 units Stretched vertically by a factor of 6 and translated down 7 units Reflected over the x – axis, shrunk vertically by a factor of 𝟏 𝟒 and translate up 9 units

Finding the Vertex Max/ Min Find the coordinates of the vertex of the graph y= −2𝑥 2 − 8. Identify the vertex as a maximum or minimum.

Graphing Quadratic Functions

Quadratic Word Problem Suppose you throw a baseball into the air with an initial upward velocity of 29 ft/s and an initial height of 6 ft. The formula h = -16t2 + 29t + 6 gives the ball’s height h in feet at time t in seconds. How high was the ball tossed? How long did it take to get that high?

Class Activity Time!!!!! Review Stations