Standard Form
By: Jaspreet Saini
Standard Form Equation
The equation for standard form is y= ax² + bx + c . The a value gives you the shape and the direction of opening. The c value is the y-intercept.
Finding the x-intercepts: The Quadratic Formula
Similar to factored form we are looking for the x-intercepts. Although unlike factored form the x-intercepts are not given to us in the equation, so we have to use another equation to find the x-intercepts.
To find the x-intercepts we will use the quadratic formula which is:
Practice Question
Okay so lets do a practice question.
ex. h= -0.2d + 2d + 0.3
Looking back at the standard form equation we know we have our a, b, and c values. -0.2=a , 2=b , and 0.3=c.
After you've completed these steps you just have to graph!
❖ Completing the Square - Solving Quadratic Equations ❖
Try these questions yourself
Rewrite each relation into y=(x-h)² + K by completing the squares
a) y= x² + 6x + 2
b) y= -x² + 80x -100
Given the quadratic relation y= x² - 16x + 60
a) Find the x-intercepts
b) Find the Vertex