I need help learning quadratics

[prime pike]

My math exam is coming up and I have no idea how to do quadratics. I need to review all of this (im pretty good on section 7 and 8. Aka trigonometry). I know it's a lot to ask but I need to learn this 😭 🙏

[ripe fiber]

Do u know b^2-4ac?

[fiery bluff]

ok

[prime pike]

Yes I think. I know it's part of the quadratic formula and it's used to solve for something that starts with a d

[ripe fiber]

Yes

[fiery bluff]

to solve a quadratic use the quadratic formula or complete the square methods

of [-b±sqrt(b²-4ac)]/2a

thats the quadratic formula

complete the square is a bit more complicated

and like he said

b²-4ac

if greater than 0 theres 2 solutions

[prime pike]

I need to learn how to use 1. Linear systems (not quadratics but I dont understand it)
2. Analytic geometry.
3. Quadratic relation.
4. Factoring expressions.
5. Quadratics equations in vertex form
6. Solving Quadratics equations

[fiery bluff]

if equal to 0 theres 1 solution

[prime pike]

Okay

[fiery bluff]

if less than 0 theres no solutions

(no real ones anyway)

[fiery bluff]

Uh

ok

[prime pike]

Okok

[fiery bluff]

im not sure what analytic geometry is but i can help w/ the other 4

[prime pike]

I can tell u the specifics for each part (they're in the picture I sent)

[prime pike]

Okay

[ripe fiber]

I’ll help u with quadratic

[prime pike]

For chapter 1 I need to know

• how to solve systems of linear equations using substitution and elimination.
• solve them by graphing.
• solve application problems.

For chapter 2 I need to:

• find the midpoint of a line segment.
• calculate distance between 2 points.
• determine equation of a circle.
• solve problems using analytics geometry formulas.
• Identify a triangle through its vertices.

For 3 I need to know:

• how to identify key features of the graph of a parabola
• drtermine x intercept in factored form.
• determine equation from a graph.
• determine zeros and the max/min value of a quadratic relation.

For 4:
-expand and simplify second-degree polynomial expressions.

• factor polynomial expressions involving common factors, trinomials, and difference of squares.
• determine zeros and the min/max of a quadratic relation in factored form.

For 5:

• explain roles of a, h, and k in y = a(x-h)² + k using proper terminology and describing transformations.
  -find vertex and axis of sym of a parabola in vertex form.
• sketch by hand a graph of y = a(x-h)² + k by applying transformations.
• write an equation in vertex form by completing the square

For 6:

• solve quadratic equations that have real roots using factoring, isolating, and the quadratic formula.
• interpret real and non real roots of a quadratic equation.
• solve problems arising from a realistic situation represented by graph or equation of a quadratic relation.

[ripe fiber]

Questions: Chapter 2 is the equation of a circle on a graph

[prime pike]

Chapter 2 is analytic geometry. I think circled are used sometimes

[prime pike]

Im going to bed now, but if anyone can help me learn this (hopefully in order) than lmk! I'll be free at around 3:30pm est

[worthy haven]

yo bro u still need help

[prime pike]

Yep!

I got my exam overview so I can send that!!!