AIM: How do we solve quadratics by graphing? Do Now: Decide if each of the following quadratics have a maximum or a minimum. 1.y = -16x 2 + 4x 2.y = 4x.

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Presentation transcript:

AIM: How do we solve quadratics by graphing? Do Now: Decide if each of the following quadratics have a maximum or a minimum. 1.y = -16x 2 + 4x 2.y = 4x 2 – 3x + 5

HW Review: Regents Review 12 is due on Tuesday. Pass forward your completed test corrections which are due today.

BIG IDEAS: Today, we are going to solve quadratic equations. This means that we are going to take the equations that we graph and try to figure out the value of x, when we set the equation equal to 0. “When y is zero, what is the value of x?”

Notes:

Notes: A quadratic equation can have two, one, or no real-number solutions. roots of the equationzeros of the function The solutions of a quadratic equation and the related x-intercepts are often called roots of the equation or zeros of the function.

Types of Graphical Solutions for Quadratics X y 1.No solution 2.One solution 3.Two solutions Solutions are roots, or zeros, or x- intercepts.

Guided Practice: How many solutions does this quadratic have? What are the solutions to this quadratic? x = -1 and x =3

Name the solution(s) to the following quadratic:

Quiz Time! During the quiz, you may use your notes and your calculator. Each time you talk during the quiz, you will lose points. If you have a question, please raise your hand and wait for the teacher to come to you. When you finish the quiz, you will work on the extra credit or Regents Review 12.

Summary: Regents Review 12 is due next Tuesday. We will have a test next Thursday. Have a nice weekend!