What is the parent function of a quadratic equation?
y = x2
(x+5)(x+9)=0
{-5, -9}
x2 + 10x = -21
{-7, -3}
What is another name for solutions?
Roots, Zeros, X-Intercepts and Solutions
Circle the following points that are not on the graph of y=x2 - 4
(1,3)
(7, 46)
(6,30)
What happens to the parent function when it becomes y=-x2?
It flips!
(x-5)(x+3)=0
{5,-3}
x2 - 81 = 0
{9, -9}
Solve:
-3 x+8
___ = _____
x 4
{-6, -2}
When solving a quadratic equation it must be equal to what?
Zero
What happens to the parent function when y=x2+1?
Moves up one
6(x-8)=0
{8}
x2 = 36
{6, -6}
Solve:
x + 5 x + 3
_____ = ______
-2 x + 6
{-9, -4}
The roots of an equation cross over what?
x-axis
What happens to the parent function when y=x2-1?
Moved down one
5(x-3)=0
{3}
(2x - 8)(x + 4)=0
{-4, 4}
4x2 - 5x - 12 = 0
5 plus or minus square root 217 over 8
Which is the following in standard form:
x(x+2)(x-15)=0
x2 - 9x = 70
x3 - 4x = 8
x(x+2)(x-15)=0
What happens to the parent function when y=(x+1)2?
Moves to the left one
#15 on the review sheet
{2, 10}
What is our first step when solving:
x 20
_ = _
5 x
Cross multiply
x2 = 100
3x2 - 5x + 2 = 0
{1, 2/3}
What is Ms. DiVello's Favorite Color?
Blue!!