Question

1. what is the standard form of a quadratic equation?

2. how do we find the axis of symmetry of a parabola? how do we find the vertex?

3. what are the 4 methods we can use to solve a quadratic equation?

4. what is the quadratic formula? how do we find a,b, and c?

Answer 1

Solving 6x²+3=2x-6 by rewriting in standard form and identifying the parameters a, b, and c, that can be used within the quadratic formula. Created by Sal Khan and Monterey Institute for Technology and Education. my source is https://www.khanacademy.org/math/algebra-home/alg-quadratics/alg-solving-quadratics-using-the-quadratic-formula/v/quadratic-equations-in-standard-form

Answer 2

https://www.mathsisfun.com/algebra/quadratic-equation.html

above link has the information for questions 1, 3, and 4. (the link gives you three methods for solving quadratic equations. the fourth method is graphing)

for question 2, please do not copy-paste my response

for question 2: the axis of symmetry cuts the parabola into two symmetric halves. at this point, you will mostly be dealing with upright/downwards parabolas, which have axes of symmetry.

to find the axis of symmetry: x = -b/(2a)
to find the vertex: plug in the previous x-value into the parabola equation and solve for y

alternatively: graph