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~Chapter 10: Quadratic Equations and Functions~ Shauna's Wiki! :) Here's a link to an online graphing calculator: []  =10-1: Exploring Quadratic Graphs = ====A **//quadratic function//** is a function that can be written in the form //y = ax2 + bx + c.// ====

This form is called the **//standard form of a quadratic function//**.
====The simplest quadratic function, //f(x) = x2// or //y = x2//, is the **//quadratic parent function.//** ====

The graph of a quadratic function is a U-shaped curve called a **//parabola.//**
====The fold or line that divides the parabola into two matching halves is called the **//axis of symmetry.//** ==== ====The highest or lowest point of a parabola is its **//vertex,//** which is on the axis of symmetry. ====

The vertex is the //**maximum**// point or highest point of the parabola.
= = =10-2: Quadratic Functions =

__Step 1__ - What is the axis of symmetry?
//x = -b / 2a // //b = 4 a = 2 //

//y = 2(-1+ 4(-1) -3)2//
<span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 120%;">//y = - 2 - 4 – 3// <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 120%;">//y = -5// <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 130%;">__Step 3__ - What is the y-intercept? <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 120%;">//y = 2(0)2 + 4(0) – 3// <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 120%;">//y = -3// <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 130%;">__Step 4__ - One more! <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 120%;">//y = 2(1)2 + 4(1) – 3// <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 120%;">//y = 2 + 4 – 3// <span style="background-color: #800080; color: #00ffff; font-family: Georgia,serif; font-size: 120%;">//y = 3// =<span style="background-color: #046262; color: #ff3d00; font-family: Arial,Helvetica,sans-serif; font-size: 120%;">﻿ = =<span style="background-color: #046262; color: #ff3d00; font-family: Arial,Helvetica,sans-serif; font-size: 120%;">10-3: Solving Quadratic Equations = ====﻿<span style="background-color: #046262; color: #ff3d00; font-family: Arial,Helvetica,sans-serif; font-size: 120%;">﻿A **//quadratic equation//** is an equation that can be written in the form //ax2 + bx + c = 0.// This form is called the **//standard form of a quadratic equation//**. ==== <span style="background-color: #046262; color: #ff3d00; font-family: Arial,Helvetica,sans-serif; font-size: 120%;">A quadratic equation can have two, one, or no real-number solutions. The solutions of a quadratic equation and the related //x//-intercepts are often called **//roots of the equation//** or **//zeros of the function//**.